LMFDB - Elliptic curve search results

Refine search

Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

		Sort order	Select

Results (42 matches)

Download displayed columns for results to

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Semistable	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
66.c3	66c1	66.c	66c	$4$	$10$	$ 2 \cdot 3 \cdot 11 $	$ 2^{10} \cdot 3^{5} \cdot 11 $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	8.6.0.4, 5.24.0.1	2B, 5B.1.1	$1320$	$288$	$5$	$1$	$1$		$9$	$20$	$-0.056866$	$10091699281/2737152$	$1.07340$	$5.49806$	$[1, 0, 0, -45, 81]$	$y^2+xy=x^3-45x+81$	2.3.0.a.1, 5.24.0-5.a.1.2, 8.6.0.d.1, 10.72.0-10.a.2.1, 40.144.1-40.t.2.4, $\ldots$	$[]$
66.c4	66c2	66.c	66c	$4$	$10$	$ 2 \cdot 3 \cdot 11 $	$ - 2^{5} \cdot 3^{10} \cdot 11^{2} $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	8.6.0.5, 5.24.0.1	2B, 5B.1.1	$1320$	$288$	$5$	$1$	$1$		$8$	$40$	$0.289708$	$168105213359/228637728$	$1.10021$	$6.24112$	$[1, 0, 0, 115, 561]$	$y^2+xy=x^3+115x+561$	2.3.0.a.1, 5.24.0-5.a.1.2, 8.6.0.a.1, 10.72.0-10.a.2.1, 40.144.1-40.c.1.13, $\ldots$	$[]$
150.c1	150a4	150.c	150a	$4$	$10$	$ 2 \cdot 3 \cdot 5^{2} $	$ 2^{5} \cdot 3^{10} \cdot 5^{3} $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$		$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$120$	$288$	$5$	$1$	$1$		$8$	$80$	$0.466022$	$502270291349/1889568$	$1.07575$	$6.34066$	$[1, 0, 0, -828, 9072]$	$y^2+xy=x^3-828x+9072$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 24.6.0.j.1, 40.144.1-40.bf.1.13, $\ldots$	$[]$
150.c3	150a3	150.c	150a	$4$	$10$	$ 2 \cdot 3 \cdot 5^{2} $	$ - 2^{10} \cdot 3^{5} \cdot 5^{3} $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$		$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$120$	$288$	$5$	$1$	$1$		$9$	$40$	$0.119448$	$-19465109/248832$	$1.09754$	$4.93986$	$[1, 0, 0, -28, 272]$	$y^2+xy=x^3-28x+272$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 24.6.0.j.1, 30.144.1-30.i.1.4, $\ldots$	$[]$
570.l3	570l2	570.l	570l	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ 2^{10} \cdot 3^{10} \cdot 5^{10} \cdot 19 $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$1140$	$288$	$5$	$1$	$1$		$8$	$4800$	$1.804110$	$75224183150104868881/11219310000000000$	$1.03228$	$7.21236$	$[1, 0, 0, -87945, -8655975]$	$y^2+xy=x^3-87945x-8655975$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 60.144.1-60.cj.2.4, 76.6.0.?, $\ldots$	$[]$
570.l4	570l1	570.l	570l	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 19 $	$ - 2^{20} \cdot 3^{5} \cdot 5^{5} \cdot 19^{2} $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$1140$	$288$	$5$	$1$	$1$		$9$	$2400$	$1.457537$	$89962967236397039/287450726400000$	$1.02813$	$6.38974$	$[1, 0, 0, 9335, -737383]$	$y^2+xy=x^3+9335x-737383$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 30.144.1-30.i.1.4, 76.6.0.?, $\ldots$	$[]$
870.h3	870i2	870.h	870i	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 29 $	$ 2^{5} \cdot 3^{5} \cdot 5^{10} \cdot 29^{2} $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$3480$	$288$	$5$	$1$	$1$		$8$	$3200$	$1.481491$	$9015548596898711041/63863437500000$	$1.01187$	$6.44833$	$[1, 0, 0, -43360, 3450272]$	$y^2+xy=x^3-43360x+3450272$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 24.6.0.a.1, 120.144.1.?, $\ldots$	$[]$
870.h4	870i1	870.h	870i	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 29 $	$ 2^{10} \cdot 3^{10} \cdot 5^{5} \cdot 29 $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$3480$	$288$	$5$	$1$	$1$		$9$	$1600$	$1.134918$	$9944061759313921/5479747200000$	$1.02480$	$5.44224$	$[1, 0, 0, -4480, -25600]$	$y^2+xy=x^3-4480x-25600$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 24.6.0.d.1, 120.144.1.?, $\ldots$	$[]$
6270.r2	6270r2	6270.r	6270r	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 19 $	$ 2^{5} \cdot 3^{5} \cdot 5^{10} \cdot 11 \cdot 19^{2} $	$1$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$25080$	$288$	$5$	$2.707225460$	$1$		$16$	$64000$	$1.878836$	$10414276373665867414321/301547812500000$	$0.99424$	$5.79828$	$[1, 0, 0, -454955, 118072977]$	$y^2+xy=x^3-454955x+118072977$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 264.6.0.?, 380.144.1.?, $\ldots$	$[(418, 781)]$
6270.r4	6270r1	6270.r	6270r	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 19 $	$ - 2^{10} \cdot 3^{10} \cdot 5^{5} \cdot 11^{2} \cdot 19 $	$1$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$25080$	$288$	$5$	$1.353612730$	$1$		$27$	$32000$	$1.532263$	$-2243980016705847601/434411683200000$	$0.96470$	$4.86569$	$[1, 0, 0, -27275, 2000625]$	$y^2+xy=x^3-27275x+2000625$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 190.144.1.?, 264.6.0.?, $\ldots$	$[(22, 1177)]$
10230.bf3	10230bg1	10230.bf	10230bg	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 31 $	$ 2^{20} \cdot 3^{5} \cdot 5^{5} \cdot 11^{2} \cdot 31 $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$20460$	$288$	$5$	$1$	$1$		$9$	$176000$	$1.959854$	$12747965531857798561201/2986780262400000$	$0.98549$	$5.51275$	$[1, 0, 0, -486675, 130612257]$	$y^2+xy=x^3-486675x+130612257$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 44.6.0.c.1, 220.144.1.?, $\ldots$	$[]$
10230.bf4	10230bg2	10230.bf	10230bg	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 31 $	$ - 2^{10} \cdot 3^{10} \cdot 5^{10} \cdot 11 \cdot 31^{2} $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$20460$	$288$	$5$	$1$	$1$		$8$	$352000$	$2.306427$	$-8814635019030000319921/6242069790000000000$	$0.99204$	$5.55934$	$[1, 0, 0, -430355, 162005025]$	$y^2+xy=x^3-430355x+162005025$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 22.6.0.a.1, 110.144.1.?, $\ldots$	$[]$
11550.cu1	11550cu4	11550.cu	11550cu	$4$	$10$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{5} \cdot 5^{3} \cdot 7^{10} \cdot 11^{2} $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$		$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$4620$	$288$	$5$	$1$	$1$		$8$	$384000$	$2.553001$	$260744057755293612689909/8504954620259328$	$1.07273$	$6.28003$	$[1, 0, 0, -6654778, 6606931172]$	$y^2+xy=x^3-6654778x+6606931172$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 60.144.1-60.cf.1.13, 924.6.0.?, $\ldots$	$[]$
11550.cu2	11550cu3	11550.cu	11550cu	$4$	$10$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 $	$ 2^{20} \cdot 3^{10} \cdot 5^{3} \cdot 7^{5} \cdot 11 $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$		$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$4620$	$288$	$5$	$1$	$1$		$9$	$192000$	$2.206429$	$72313087342699809269/11447096545640448$	$1.05662$	$5.40448$	$[1, 0, 0, -433978, 93753572]$	$y^2+xy=x^3-433978x+93753572$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 60.144.1-60.ch.2.4, 770.144.1.?, $\ldots$	$[]$
29370.bm3	29370bp2	29370.bm	29370bp	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 $	$ 2^{10} \cdot 3^{20} \cdot 5^{5} \cdot 11 \cdot 89^{2} $	$1$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$19580$	$288$	$5$	$3.780028731$	$1$		$18$	$5120000$	$3.302872$	$733005968209216932163418210881/972182437259299200000$	$1.01736$	$6.68437$	$[1, 0, 0, -187842820, 990906448400]$	$y^2+xy=x^3-187842820x+990906448400$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 220.144.1.?, 356.6.0.?, $\ldots$	$[(7922, -3034)]$
29370.bm4	29370bp1	29370.bm	29370bp	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 $	$ 2^{20} \cdot 3^{10} \cdot 5^{10} \cdot 11^{2} \cdot 89 $	$1$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$19580$	$288$	$5$	$1.890014365$	$1$		$27$	$2560000$	$2.956299$	$183691516586815867994210881/6511602493440000000000$	$0.99708$	$5.87839$	$[1, 0, 0, -11842820, 15197648400]$	$y^2+xy=x^3-11842820x+15197648400$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 178.6.0.?, 220.144.1.?, $\ldots$	$[(1672, 7612)]$
32718.l2	32718w2	32718.l	32718w	$4$	$10$	$ 2 \cdot 3 \cdot 7 \cdot 19 \cdot 41 $	$ 2^{10} \cdot 3^{5} \cdot 7^{10} \cdot 19 \cdot 41^{2} $	$1$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$327180$	$288$	$5$	$3.519231878$	$1$		$16$	$3840000$	$2.799599$	$1769935296778757928512038081/2244956575342666752$	$1.05516$	$6.03527$	$[1, 0, 0, -25200620, 48690669456]$	$y^2+xy=x^3-25200620x+48690669456$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 114.6.0.?, 570.144.1.?, $\ldots$	$[(2968, 5044)]$
32718.l3	32718w1	32718.l	32718w	$4$	$10$	$ 2 \cdot 3 \cdot 7 \cdot 19 \cdot 41 $	$ - 2^{20} \cdot 3^{10} \cdot 7^{5} \cdot 19^{2} \cdot 41 $	$1$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$327180$	$288$	$5$	$1.759615939$	$1$		$27$	$1920000$	$2.453022$	$-421130255542777411888321/15402588724729479168$	$1.08975$	$5.23857$	$[1, 0, 0, -1561580, 774335376]$	$y^2+xy=x^3-1561580x+774335376$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 228.6.0.?, 574.6.0.?, $\ldots$	$[(730, 4486)]$
61770.be2	61770bi2	61770.be	61770bi	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 29 \cdot 71 $	$ 2^{10} \cdot 3^{20} \cdot 5^{5} \cdot 29 \cdot 71^{2} $	$1$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$41180$	$288$	$5$	$5.537035265$	$1$		$12$	$14336000$	$3.489777$	$13400897273900477255187118481761/1631134479352924800000$	$1.01292$	$6.49730$	$[1, 0, 0, -494845990, 4236906928100]$	$y^2+xy=x^3-494845990x+4236906928100$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 284.6.0.?, 290.144.1.?, $\ldots$	$[(-14158, 2906222)]$
61770.be3	61770bi1	61770.be	61770bi	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 29 \cdot 71 $	$ - 2^{20} \cdot 3^{10} \cdot 5^{10} \cdot 29^{2} \cdot 71 $	$1$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$41180$	$288$	$5$	$2.768517632$	$1$		$21$	$7168000$	$3.143204$	$-3245785780942463481262481761/36104958351360000000000$	$0.99273$	$5.74428$	$[1, 0, 0, -30845990, 66567728100]$	$y^2+xy=x^3-30845990x+66567728100$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 142.6.0.?, 580.144.1.?, $\ldots$	$[(2580, 63210)]$
77610.bb3	77610ba2	77610.bb	77610ba	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 199 $	$ 2^{15} \cdot 3^{10} \cdot 5^{5} \cdot 13^{10} \cdot 199^{2} $	$1$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$310440$	$288$	$5$	$2.561010468$	$1$		$16$	$70080000$	$4.171402$	$86169418186840207524668053126801/33010505869278473338982400000$	$1.02137$	$6.53086$	$[1, 0, 0, -920187825, 6246414106857]$	$y^2+xy=x^3-920187825x+6246414106857$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 40.144.1-40.bf.1.13, 31044.6.0.?, $\ldots$	$[(4554, 1464123)]$
77610.bb4	77610ba1	77610.bb	77610ba	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 199 $	$ 2^{30} \cdot 3^{5} \cdot 5^{10} \cdot 13^{5} \cdot 199 $	$1$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$310440$	$288$	$5$	$5.122020936$	$1$		$15$	$35040000$	$3.824829$	$7521489487871336442200725126801/188267790084341760000000000$	$1.00868$	$6.31428$	$[1, 0, 0, -408187825, -3104856293143]$	$y^2+xy=x^3-408187825x-3104856293143$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 40.144.1-40.bl.2.2, 15522.6.0.?, $\ldots$	$[(75314, 19795403)]$
92442.n3	92442x2	92442.n	92442x	$4$	$10$	$ 2 \cdot 3 \cdot 7 \cdot 31 \cdot 71 $	$ 2^{15} \cdot 3^{20} \cdot 7^{10} \cdot 31^{2} \cdot 71 $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$616280$	$288$	$5$	$1$	$1$		$8$	$107520000$	$3.993576$	$30844295769861594410348211372001/2202100653928823895428923392$	$1.03313$	$6.34112$	$[1, 0, 0, -653356750, 6018360109316]$	$y^2+xy=x^3-653356750x+6018360109316$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 568.6.0.?, 868.6.0.?, $\ldots$	$[]$
92442.n4	92442x1	92442.n	92442x	$4$	$10$	$ 2 \cdot 3 \cdot 7 \cdot 31 \cdot 71 $	$ 2^{30} \cdot 3^{10} \cdot 7^{5} \cdot 31 \cdot 71^{2} $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$616280$	$288$	$5$	$1$	$1$		$9$	$53760000$	$3.647003$	$29225959703644585098026815619041/166525600515144466563072$	$1.03206$	$6.33641$	$[1, 0, 0, -641724110, 6256980453636]$	$y^2+xy=x^3-641724110x+6256980453636$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 434.6.0.?, 568.6.0.?, $\ldots$	$[]$
94710.cx3	94710cy2	94710.cx	94710cy	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 41 $	$ 2^{5} \cdot 3^{5} \cdot 5^{10} \cdot 7^{10} \cdot 11^{2} \cdot 41 $	$1$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$378840$	$288$	$5$	$2.953084209$	$1$		$18$	$13440000$	$3.118427$	$286657225480543563498731761/106415753000070937500000$	$0.98716$	$5.31657$	$[1, 0, 0, -13736615, 11732181225]$	$y^2+xy=x^3-13736615x+11732181225$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 984.6.0.?, 1540.144.1.?, $\ldots$	$[(346, 83617)]$
94710.cx4	94710cy1	94710.cx	94710cy	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 41 $	$ 2^{10} \cdot 3^{10} \cdot 5^{5} \cdot 7^{5} \cdot 11 \cdot 41^{2} $	$1$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$378840$	$288$	$5$	$1.476542104$	$1$		$25$	$6720000$	$2.771854$	$197993898174778925173824241/58723661173161600000$	$0.97793$	$5.28428$	$[1, 0, 0, -12142535, 16280729097]$	$y^2+xy=x^3-12142535x+16280729097$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 770.144.1.?, 984.6.0.?, $\ldots$	$[(1984, -317)]$
123690.by3	123690by2	123690.by	123690by	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19 \cdot 31 $	$ 2^{5} \cdot 3^{10} \cdot 5^{5} \cdot 7^{10} \cdot 19^{2} \cdot 31 $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$494760$	$288$	$5$	$1$	$1$		$8$	$15360000$	$3.031601$	$367064896520710054039897441/18666454802704739100000$	$0.97630$	$5.21661$	$[1, 0, 0, -14916710, 21176759172]$	$y^2+xy=x^3-14916710x+21176759172$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 1240.144.1.?, 1596.6.0.?, $\ldots$	$[]$
123690.by4	123690by1	123690.by	123690by	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19 \cdot 31 $	$ - 2^{10} \cdot 3^{5} \cdot 5^{10} \cdot 7^{5} \cdot 19 \cdot 31^{2} $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$494760$	$288$	$5$	$1$	$1$		$9$	$7680000$	$2.685024$	$21947105851758112102559/745716001590000000000$	$0.98045$	$4.73313$	$[1, 0, 0, 583290, 1302659172]$	$y^2+xy=x^3+583290x+1302659172$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 798.6.0.?, 1240.144.1.?, $\ldots$	$[]$
136290.ct3	136290a2	136290.ct	136290a	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 59 $	$ 2^{5} \cdot 3^{20} \cdot 5^{10} \cdot 7^{5} \cdot 11^{2} \cdot 59 $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$181720$	$288$	$5$	$1$	$1$		$8$	$64640000$	$3.700771$	$226254431386145697240615608161/130738259239901991562500000$	$1.04152$	$5.71717$	$[1, 0, 0, -126947590, 21290730692]$	$y^2+xy=x^3-126947590x+21290730692$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 220.144.1.?, 3304.6.0.?, $\ldots$	$[]$
136290.ct4	136290a1	136290.ct	136290a	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 59 $	$ - 2^{10} \cdot 3^{10} \cdot 5^{5} \cdot 7^{10} \cdot 11 \cdot 59^{2} $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$181720$	$288$	$5$	$1$	$1$		$9$	$32320000$	$3.354198$	$3526408097252790554911347359/2043805832116142371200000$	$1.03259$	$5.36518$	$[1, 0, 0, 31710490, 2664272100]$	$y^2+xy=x^3+31710490x+2664272100$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 110.144.1.?, 3304.6.0.?, $\ldots$	$[]$
140910.dd3	140910b1	140910.dd	140910b	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ 2^{10} \cdot 3^{5} \cdot 5^{10} \cdot 7^{5} \cdot 11^{2} \cdot 61 $	$1$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$563640$	$288$	$5$	$1.985036711$	$1$		$23$	$8960000$	$2.713871$	$12411455694361059171563281/301447494810000000000$	$0.96325$	$4.87359$	$[1, 0, 0, -4823545, 3990649337]$	$y^2+xy=x^3-4823545x+3990649337$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 440.144.1.?, 2562.6.0.?, $\ldots$	$[(1094, 4283)]$
140910.dd4	140910b2	140910.dd	140910b	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 61 $	$ - 2^{5} \cdot 3^{10} \cdot 5^{5} \cdot 7^{10} \cdot 11 \cdot 61^{2} $	$1$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$563640$	$288$	$5$	$3.970073423$	$1$		$14$	$17920000$	$3.060444$	$34232640998190260436719/68272420831874513100000$	$1.01461$	$5.06350$	$[1, 0, 0, 676455, 12569549337]$	$y^2+xy=x^3+676455x+12569549337$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 440.144.1.?, 5124.6.0.?, $\ldots$	$[(-336, 111093)]$
219450.hl1	219450d3	219450.hl	219450d	$4$	$10$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 $	$ 2^{30} \cdot 3^{10} \cdot 5^{3} \cdot 7^{5} \cdot 11^{2} \cdot 19 $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$		$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$58520$	$288$	$5$	$1$	$1$		$9$	$136320000$	$3.859047$	$6698391064416261144129516088949/2449861814311786119168$	$1.02818$	$6.16379$	$[1, 0, 0, -1963596578, 33490702261572]$	$y^2+xy=x^3-1963596578x+33490702261572$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 440.144.1.?, 1330.144.1.?, $\ldots$	$[]$
219450.hl2	219450d4	219450.hl	219450d	$4$	$10$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 $	$ - 2^{15} \cdot 3^{20} \cdot 5^{3} \cdot 7^{10} \cdot 11 \cdot 19^{2} $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$		$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$58520$	$288$	$5$	$1$	$1$		$8$	$272640000$	$4.205620$	$-6606594261153843534370179395189/128160831539202997006467072$	$1.02838$	$6.16535$	$[1, 0, 0, -1954585378, 33813312232772]$	$y^2+xy=x^3-1954585378x+33813312232772$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 440.144.1.?, 2660.144.1.?, $\ldots$	$[]$
219450.hn1	219450e4	219450.hn	219450e	$4$	$10$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 $	$ 2^{5} \cdot 3^{10} \cdot 5^{3} \cdot 7^{10} \cdot 11^{10} \cdot 19 $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$		$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$58520$	$288$	$5$	$1$	$4$	$2$	$8$	$312320000$	$4.194969$	$1684157835362218257442567295429/263040958377251477770663008$	$1.02765$	$6.05154$	$[1, 0, 0, -1239337803, -14349289224303]$	$y^2+xy=x^3-1239337803x-14349289224303$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 760.144.1.?, 1540.144.1.?, $\ldots$	$[]$
219450.hn3	219450e3	219450.hn	219450e	$4$	$10$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 $	$ 2^{10} \cdot 3^{20} \cdot 5^{3} \cdot 7^{5} \cdot 11^{5} \cdot 19^{2} $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$		$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$58520$	$288$	$5$	$1$	$1$		$9$	$156160000$	$3.848392$	$35326710774513978982545998789/3488878768082999418344448$	$1.01804$	$5.73733$	$[1, 0, 0, -341793003, 2214900059697]$	$y^2+xy=x^3-341793003x+2214900059697$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 760.144.1.?, 770.144.1.?, $\ldots$	$[]$
334950.gb1	334950gb3	334950.gb	334950gb	$4$	$10$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 29 $	$ 2^{20} \cdot 3^{5} \cdot 5^{3} \cdot 7^{10} \cdot 11^{5} \cdot 29 $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$		$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$133980$	$288$	$5$	$1$	$1$		$9$	$118400000$	$3.608185$	$635081355617346114324952229/336161529228687156707328$	$1.01998$	$5.23074$	$[1, 0, 0, -89537553, -95269046103]$	$y^2+xy=x^3-89537553x-95269046103$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 140.144.1.?, 9570.144.1.?, $\ldots$	$[]$
334950.gb4	334950gb4	334950.gb	334950gb	$4$	$10$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 29 $	$ - 2^{10} \cdot 3^{10} \cdot 5^{3} \cdot 7^{5} \cdot 11^{10} \cdot 29^{2} $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$		$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$133980$	$288$	$5$	$1$	$1$		$8$	$236800000$	$3.954758$	$34995554416298589943122512731/22167950922230373214682112$	$1.02998$	$5.54589$	$[1, 0, 0, 340721647, -744530178903]$	$y^2+xy=x^3+340721647x-744530178903$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 70.144.1-70.f.1.4, 19140.144.1.?, $\ldots$	$[]$
338910.cn2	338910cn2	338910.cn	338910cn	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \cdot 79 $	$ 2^{15} \cdot 3^{10} \cdot 5^{5} \cdot 11^{4} \cdot 13^{10} \cdot 79 $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$123240$	$288$	$5$	$1$	$1$		$8$	$1082880000$	$4.782570$	$8742076626521910595251756451488762961/964148342166520646557593600000$	$1.01726$	$6.68012$	$[1, 0, 0, -42917093165, 3421777140097617]$	$y^2+xy=x^3-42917093165x+3421777140097617$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 156.6.0.?, 780.144.1.?, $\ldots$	$[]$
338910.cn4	338910cn1	338910.cn	338910cn	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \cdot 79 $	$ - 2^{30} \cdot 3^{5} \cdot 5^{10} \cdot 11^{2} \cdot 13^{5} \cdot 79^{2} $	$0$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$123240$	$288$	$5$	$1$	$1$		$9$	$541440000$	$4.435997$	$-1664700629958202478932584096762961/714434636321013104640000000000$	$1.00382$	$6.05095$	$[1, 0, 0, -2469093165, 62319962497617]$	$y^2+xy=x^3-2469093165x+62319962497617$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 78.6.0.?, 390.144.1.?, $\ldots$	$[]$
359310.bp2	359310bp1	359310.bp	359310bp	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 59 $	$ 2^{10} \cdot 3^{10} \cdot 5^{5} \cdot 7^{5} \cdot 29^{2} \cdot 59 $	$1$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$1437240$	$288$	$5$	$2.651674263$	$1$		$21$	$36800000$	$3.070732$	$29652328953610455812191224481/157579868246774400000$	$0.97233$	$5.12505$	$[1, 0, 0, -64482970, 199297549412]$	$y^2+xy=x^3-64482970x+199297549412$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 696.6.0.?, 3480.144.1.?, $\ldots$	$[(4604, 1358)]$
359310.bp3	359310bp2	359310.bp	359310bp	$4$	$10$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 59 $	$ - 2^{5} \cdot 3^{5} \cdot 5^{10} \cdot 7^{10} \cdot 29 \cdot 59^{2} $	$1$	$\Z/10\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 5$	2.3.0.1, 5.24.0.1	2B, 5B.1.1	$1437240$	$288$	$5$	$5.303348526$	$1$		$10$	$73600000$	$3.417305$	$-28123906954810971599002864801/2165402912639419687500000$	$0.97314$	$5.13068$	$[1, 0, 0, -63355450, 206603202500]$	$y^2+xy=x^3-63355450x+206603202500$	2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 696.6.0.?, 3480.144.1.?, $\ldots$	$[(14000, 1429550)]$

Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (42 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Learn more

Refine search Advanced search options

Results (42 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Refine search