LMFDB - Elliptic curves over $\Q$ of conductor 4830

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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

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

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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
4830.a1	4830a3	4830.a	4830a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{2} \cdot 3^{20} \cdot 5 \cdot 7^{3} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$4.455294344$	$1$		$2$	$61440$	$1.998230$	$66187969564358252770489/550144842789780$	$1.00526$	$6.19465$	$[1, 1, 0, -842723, 297413193]$	$y^2+xy=x^3+x^2-842723x+297413193$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 92.12.0.?, 140.12.0.?, $\ldots$	$[(537, 24)]$
4830.a2	4830a2	4830.a	4830a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 7^{6} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$9660$	$48$	$0$	$2.227647172$	$1$		$8$	$30720$	$1.651655$	$17244079743478944889/1469997007491600$	$0.97748$	$5.22175$	$[1, 1, 0, -53823, 4415733]$	$y^2+xy=x^3+x^2-53823x+4415733$	2.6.0.a.1, 12.12.0-2.a.1.1, 92.12.0.?, 140.12.0.?, 276.24.0.?, $\ldots$	$[(77, 819)]$
4830.a3	4830a1	4830.a	4830a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{8} \cdot 3^{5} \cdot 5 \cdot 7^{3} \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$4.455294344$	$1$		$3$	$15360$	$1.305082$	$168351140229842809/29855318411520$	$0.95916$	$4.67602$	$[1, 1, 0, -11503, -400283]$	$y^2+xy=x^3+x^2-11503x-400283$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 140.12.0.?, 184.12.0.?, $\ldots$	$[(-57, 301)]$
4830.a4	4830a4	4830.a	4830a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{2} \cdot 3^{5} \cdot 5^{4} \cdot 7^{12} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$19320$	$48$	$0$	$4.455294344$	$1$		$2$	$61440$	$1.998230$	$21529289381199961031/193397385415972500$	$1.06153$	$5.56335$	$[1, 1, 0, 57957, 20489697]$	$y^2+xy=x^3+x^2+57957x+20489697$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 92.12.0.?, 276.24.0.?, $\ldots$	$[(-49, 4212)]$
4830.b1	4830b3	4830.b	4830b	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{3} \cdot 3^{4} \cdot 5 \cdot 7^{3} \cdot 23^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$840$	$48$	$0$	$1$	$1$		$0$	$73728$	$1.948746$	$219353215817909485369/87028564162480920$	$0.99791$	$5.52156$	$[1, 1, 0, -125643, 9559557]$	$y^2+xy=x^3+x^2-125643x+9559557$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 140.12.0.?, $\ldots$	$[]$
4830.b2	4830b2	4830.b	4830b	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 23^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$840$	$48$	$0$	$1$	$1$		$2$	$36864$	$1.602171$	$20527812941011798969/474091398849600$	$0.97691$	$5.24230$	$[1, 1, 0, -57043, -5162003]$	$y^2+xy=x^3+x^2-57043x-5162003$	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 140.12.0.?, $\ldots$	$[]$
4830.b3	4830b1	4830.b	4830b	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{12} \cdot 3 \cdot 5 \cdot 7^{3} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$840$	$48$	$0$	$1$	$4$	$2$	$1$	$18432$	$1.255598$	$20184279492242626489/11148103680$	$0.97641$	$5.24031$	$[1, 1, 0, -56723, -5223507]$	$y^2+xy=x^3+x^2-56723x-5223507$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$	$[]$
4830.b4	4830b4	4830.b	4830b	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{3} \cdot 3 \cdot 5^{4} \cdot 7^{12} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$840$	$48$	$0$	$1$	$4$	$2$	$0$	$73728$	$1.948746$	$29489595518609351/109830613939935000$	$1.04998$	$5.50448$	$[1, 1, 0, 6437, -15940907]$	$y^2+xy=x^3+x^2+6437x-15940907$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$	$[]$
4830.c1	4830c1	4830.c	4830c	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{6} \cdot 3^{13} \cdot 5 \cdot 7^{10} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$212160$	$2.501186$	$5949010462538271898545049/3314625947988102720$	$1.01830$	$6.72497$	$[1, 1, 0, -3774913, -2823198923]$	$y^2+xy=x^3+x^2-3774913x-2823198923$	2.3.0.a.1, 56.6.0.c.1, 690.6.0.?, 19320.12.0.?	$[]$
4830.c2	4830c2	4830.c	4830c	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{3} \cdot 3^{26} \cdot 5^{2} \cdot 7^{5} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$0$	$424320$	$2.847759$	$-3303050039017428591035929/4519896503737558217400$	$1.02732$	$6.79864$	$[1, 1, 0, -3102633, -3859720227]$	$y^2+xy=x^3+x^2-3102633x-3859720227$	2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.?	$[]$
4830.d1	4830d2	4830.d	4830d	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{3} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1.338183009$	$1$		$6$	$3072$	$0.510116$	$94376601570889/456435000$	$0.91173$	$3.79345$	$[1, 1, 0, -948, -11592]$	$y^2+xy=x^3+x^2-948x-11592$	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(39, 93)]$
4830.d2	4830d1	4830.d	4830d	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1288$	$12$	$0$	$0.669091504$	$1$		$9$	$1536$	$0.163542$	$-2565726409/53323200$	$1.02198$	$2.97952$	$[1, 1, 0, -28, -368]$	$y^2+xy=x^3+x^2-28x-368$	2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.?	$[(16, 52)]$
4830.e1	4830e1	4830.e	4830e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 7^{3} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$27648$	$1.560410$	$188191720927962271801/9422571110400$	$0.98519$	$5.50350$	$[1, 1, 0, -119387, 15827229]$	$y^2+xy=x^3+x^2-119387x+15827229$	2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.?	$[]$
4830.e2	4830e2	4830.e	4830e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{8} \cdot 3^{12} \cdot 5 \cdot 7^{6} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$0$	$55296$	$1.906982$	$-159520003524722950201/42335913815758080$	$0.98860$	$5.52851$	$[1, 1, 0, -112987, 17607709]$	$y^2+xy=x^3+x^2-112987x+17607709$	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[]$
4830.f1	4830g2	4830.f	4830g	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2 \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$0.414281513$	$1$		$8$	$4608$	$0.686864$	$44365623586201/25674468750$	$1.10875$	$3.70446$	$[1, 1, 0, -737, -321]$	$y^2+xy=x^3+x^2-737x-321$	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[(-7, 71)]$
4830.f2	4830g1	4830.f	4830g	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7 \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$0.828563027$	$1$		$7$	$2304$	$0.340291$	$14457238157881/49990500$	$0.89834$	$3.57228$	$[1, 1, 0, -507, -4599]$	$y^2+xy=x^3+x^2-507x-4599$	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(-13, 9)]$
4830.g1	4830f2	4830.g	4830f	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 7^{10} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$0.480839107$	$1$		$8$	$12800$	$1.313776$	$85486955243540761/46777901234400$	$0.98660$	$4.59613$	$[1, 1, 0, -9177, 75141]$	$y^2+xy=x^3+x^2-9177x+75141$	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[(5, 169)]$
4830.g2	4830f1	4830.g	4830f	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{10} \cdot 3 \cdot 5 \cdot 7^{5} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$0.961678214$	$1$		$7$	$6400$	$0.967201$	$18374873741826841/136564270080$	$0.94369$	$4.41489$	$[1, 1, 0, -5497, -158171]$	$y^2+xy=x^3+x^2-5497x-158171$	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(-45, 47)]$
4830.h1	4830h1	4830.h	4830h	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{30} \cdot 3^{5} \cdot 5^{5} \cdot 7^{2} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$72000$	$2.148251$	$2625564132023811051529/918925030195200000$	$1.00410$	$5.81420$	$[1, 0, 1, -287409, 37259332]$	$y^2+xy+y=x^3-287409x+37259332$	2.3.0.a.1, 56.6.0.c.1, 690.6.0.?, 19320.12.0.?	$[]$
4830.h2	4830h2	4830.h	4830h	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{15} \cdot 3^{10} \cdot 5^{10} \cdot 7 \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$0$	$144000$	$2.494823$	$70213095586874240921591/69970703040000000000$	$1.01901$	$6.20161$	$[1, 0, 1, 859471, 260671556]$	$y^2+xy+y=x^3+859471x+260671556$	2.3.0.a.1, 56.6.0.b.1, 1380.6.0.?, 19320.12.0.?	$[]$
4830.i1	4830j3	4830.i	4830j	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2 \cdot 3 \cdot 5^{4} \cdot 7^{2} \cdot 23^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$2760$	$48$	$0$	$0.722166512$	$1$		$4$	$6144$	$0.801004$	$692895692874169/51420783750$	$0.92630$	$4.02847$	$[1, 0, 1, -1844, 28292]$	$y^2+xy+y=x^3-1844x+28292$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$	$[(-22, 252)]$
4830.i2	4830j2	4830.i	4830j	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$2760$	$48$	$0$	$1.444333024$	$1$		$8$	$3072$	$0.454431$	$5763259856089/1143116100$	$0.89695$	$3.46386$	$[1, 0, 1, -374, -2284]$	$y^2+xy+y=x^3-374x-2284$	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.2, 460.12.0.?, $\ldots$	$[(-12, 28)]$
4830.i3	4830j1	4830.i	4830j	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$2760$	$48$	$0$	$2.888666049$	$1$		$3$	$1536$	$0.107857$	$4886171981209/270480$	$0.88995$	$3.44439$	$[1, 0, 1, -354, -2588]$	$y^2+xy+y=x^3-354x-2588$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.y.1.2, $\ldots$	$[(25, 53)]$
4830.i4	4830j4	4830.i	4830j	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2 \cdot 3^{4} \cdot 5 \cdot 7^{8} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$2760$	$48$	$0$	$2.888666049$	$1$		$2$	$6144$	$0.801004$	$51774168853511/107398242630$	$0.93145$	$3.83461$	$[1, 0, 1, 776, -13324]$	$y^2+xy+y=x^3+776x-13324$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 460.12.0.?, $\ldots$	$[(34, 212)]$
4830.j1	4830i2	4830.j	4830i	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$0$	$2304$	$0.333054$	$105214211150329/2028600$	$0.91236$	$3.80626$	$[1, 0, 1, -984, -11954]$	$y^2+xy+y=x^3-984x-11954$	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[]$
4830.j2	4830i1	4830.j	4830i	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$1152$	$-0.013519$	$28344726649/3554880$	$0.84695$	$2.83730$	$[1, 0, 1, -64, -178]$	$y^2+xy+y=x^3-64x-178$	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
4830.k1	4830k1	4830.k	4830k	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3220$	$12$	$0$	$0.611558068$	$1$		$7$	$768$	$-0.196198$	$1439069689/579600$	$0.82825$	$2.48594$	$[1, 0, 1, -24, 22]$	$y^2+xy+y=x^3-24x+22$	2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.?	$[(5, 3)]$
4830.k2	4830k2	4830.k	4830k	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{2} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3220$	$12$	$0$	$0.305779034$	$1$		$10$	$1536$	$0.150376$	$49471280711/41992020$	$0.87372$	$2.90296$	$[1, 0, 1, 76, 182]$	$y^2+xy+y=x^3+76x+182$	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[(3, 19)]$
4830.l1	4830l4	4830.l	4830l	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{15} \cdot 3^{4} \cdot 5^{12} \cdot 7^{6} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$3864$	$96$	$1$	$1$	$1$		$0$	$276480$	$2.765789$	$3029968325354577848895529/1753440696000000000000$	$1.13743$	$6.64544$	$[1, 0, 1, -3014659, 5275646]$	$y^2+xy+y=x^3-3014659x+5275646$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 28.6.0.c.1, 84.48.0.?, $\ldots$	$[]$
4830.l2	4830l2	4830.l	4830l	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{5} \cdot 3^{12} \cdot 5^{4} \cdot 7^{2} \cdot 23^{3} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$3864$	$96$	$1$	$1$	$1$		$4$	$92160$	$2.216484$	$986396822567235411402169/6336721794060000$	$1.01331$	$6.51314$	$[1, 0, 1, -2073844, 1149329042]$	$y^2+xy+y=x^3-2073844x+1149329042$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 28.6.0.c.1, 84.48.0.?, $\ldots$	$[]$
4830.l3	4830l1	4830.l	4830l	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7 \cdot 23^{6} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$3864$	$96$	$1$	$1$	$1$		$5$	$46080$	$1.869909$	$-227196402372228188089/19338934824115200$	$0.98736$	$5.54188$	$[1, 0, 1, -127124, 18674066]$	$y^2+xy+y=x^3-127124x+18674066$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 14.6.0.b.1, 42.48.0-42.b.1.4, $\ldots$	$[]$
4830.l4	4830l3	4830.l	4830l	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{30} \cdot 3^{2} \cdot 5^{6} \cdot 7^{3} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$3864$	$96$	$1$	$1$	$1$		$1$	$138240$	$2.419216$	$47342661265381757089751/27397579603968000000$	$1.13273$	$6.15515$	$[1, 0, 1, 753661, 753662]$	$y^2+xy+y=x^3+753661x+753662$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 14.6.0.b.1, 42.48.0-42.b.1.3, $\ldots$	$[]$
4830.m1	4830m2	4830.m	4830m	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2 \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1288$	$12$	$0$	$0.339562508$	$1$		$8$	$2048$	$0.280190$	$1061520150601/114108750$	$1.03168$	$3.26441$	$[1, 0, 1, -213, -1094]$	$y^2+xy+y=x^3-213x-1094$	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(20, 42)]$
4830.m2	4830m1	4830.m	4830m	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1288$	$12$	$0$	$0.679125017$	$1$		$7$	$1024$	$-0.066383$	$590589719/3332700$	$0.85136$	$2.63667$	$[1, 0, 1, 17, -82]$	$y^2+xy+y=x^3+17x-82$	2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.?	$[(4, 5)]$
4830.n1	4830n3	4830.n	4830n	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{6} \cdot 3^{7} \cdot 5^{12} \cdot 7^{2} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$2760$	$48$	$0$	$1$	$1$		$0$	$1290240$	$3.407730$	$65853432878493908038433301506521/38511703125000000$	$1.05362$	$8.63709$	$[1, 0, 1, -841301318, -9392446043944]$	$y^2+xy+y=x^3-841301318x-9392446043944$	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.12, 138.6.0.?, 276.24.0.?, $\ldots$	$[]$
4830.n2	4830n2	4830.n	4830n	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{12} \cdot 3^{14} \cdot 5^{6} \cdot 7^{4} \cdot 23^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$1380$	$48$	$0$	$1$	$1$		$2$	$645120$	$3.061157$	$16077778198622525072705635801/388799208512064000000$	$1.03741$	$7.65652$	$[1, 0, 1, -52581638, -146758467112]$	$y^2+xy+y=x^3-52581638x-146758467112$	2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.1, 276.24.0.?, 1380.48.0.?	$[]$
4830.n3	4830n4	4830.n	4830n	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{6} \cdot 3^{28} \cdot 5^{3} \cdot 7^{2} \cdot 23^{4} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$2760$	$48$	$0$	$1$	$1$		$2$	$1290240$	$3.407730$	$-14346048055032350809895395801/2509530875136386550792000$	$1.03919$	$7.67422$	$[1, 0, 1, -50621638, -158203299112]$	$y^2+xy+y=x^3-50621638x-158203299112$	2.3.0.a.1, 4.12.0-4.c.1.1, 20.24.0-20.h.1.2, 552.24.0.?, 2760.48.0.?	$[]$
4830.n4	4830n1	4830.n	4830n	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{24} \cdot 3^{7} \cdot 5^{3} \cdot 7^{8} \cdot 23 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$2760$	$48$	$0$	$1$	$1$		$1$	$322560$	$2.714581$	$4381924769947287308715481/608122186185572352000$	$1.01997$	$6.68893$	$[1, 0, 1, -3409158, -2112699944]$	$y^2+xy+y=x^3-3409158x-2112699944$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.ba.1.10, $\ldots$	$[]$
4830.o1	4830q3	4830.o	4830q	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{4} \cdot 3 \cdot 5^{20} \cdot 7^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$2760$	$48$	$0$	$0.935526220$	$1$		$4$	$122880$	$2.289242$	$13167998447866683762601/5158996582031250000$	$1.06561$	$6.00430$	$[1, 0, 1, -491963, -75523594]$	$y^2+xy+y=x^3-491963x-75523594$	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.12, 138.6.0.?, 276.24.0.?, $\ldots$	$[(800, 6162)]$
4830.o2	4830q2	4830.o	4830q	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 7^{4} \cdot 23^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$1380$	$48$	$0$	$0.467763110$	$1$		$14$	$61440$	$1.942667$	$1201550658189465626281/28577902500000000$	$0.99239$	$5.72205$	$[1, 0, 1, -221483, 39268118]$	$y^2+xy+y=x^3-221483x+39268118$	2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.1, 276.24.0.?, 1380.48.0.?	$[(114, 3880)]$
4830.o3	4830q1	4830.o	4830q	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{16} \cdot 3 \cdot 5^{5} \cdot 7^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$2760$	$48$	$0$	$0.935526220$	$1$		$5$	$30720$	$1.596094$	$1180838681727016392361/692428800000$	$0.99191$	$5.72000$	$[1, 0, 1, -220203, 39754006]$	$y^2+xy+y=x^3-220203x+39754006$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.ba.1.10, $\ldots$	$[(280, 122)]$
4830.o4	4830q4	4830.o	4830q	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{4} \cdot 3^{4} \cdot 5^{5} \cdot 7^{8} \cdot 23^{4} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$2760$	$48$	$0$	$0.233881555$	$1$		$22$	$122880$	$2.289242$	$2564821295690373719/6533572090396050000$	$1.05786$	$5.98613$	$[1, 0, 1, 28517, 122968118]$	$y^2+xy+y=x^3+28517x+122968118$	2.3.0.a.1, 4.12.0-4.c.1.1, 20.24.0-20.h.1.2, 552.24.0.?, 2760.48.0.?	$[(-221, 10400)]$
4830.p1	4830o3	4830.p	4830o	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{6} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 23^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$19320$	$96$	$1$	$1$	$1$		$1$	$8640$	$1.021156$	$2662558086295801/1374177967680$	$0.96075$	$4.18717$	$[1, 0, 1, -2888, -19882]$	$y^2+xy+y=x^3-2888x-19882$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 56.6.0.c.1, 168.48.0.?, $\ldots$	$[]$
4830.p2	4830o1	4830.p	4830o	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 23 $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$19320$	$96$	$1$	$1$	$1$		$5$	$2880$	$0.471850$	$463702796512201/15214500$	$0.92207$	$3.98112$	$[1, 0, 1, -1613, 24788]$	$y^2+xy+y=x^3-1613x+24788$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 56.6.0.c.1, 168.48.0.?, $\ldots$	$[]$
4830.p3	4830o2	4830.p	4830o	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2 \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 23^{2} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$19320$	$96$	$1$	$1$	$1$		$4$	$5760$	$0.818424$	$-405897921250921/84358968750$	$0.92574$	$4.00160$	$[1, 0, 1, -1543, 27056]$	$y^2+xy+y=x^3-1543x+27056$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 56.6.0.b.1, 168.48.0.?, $\ldots$	$[]$
4830.p4	4830o4	4830.p	4830o	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{3} \cdot 23^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$19320$	$96$	$1$	$1$	$1$		$0$	$17280$	$1.367729$	$140574743422291079/91397357868600$	$0.98167$	$4.65476$	$[1, 0, 1, 10832, -151594]$	$y^2+xy+y=x^3+10832x-151594$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 56.6.0.b.1, 168.48.0.?, $\ldots$	$[]$
4830.q1	4830p2	4830.q	4830p	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2 \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$0.287700609$	$1$		$10$	$3840$	$0.525319$	$8341959848041/3327411150$	$0.91008$	$3.50745$	$[1, 0, 1, -423, 1828]$	$y^2+xy+y=x^3-423x+1828$	2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?	$[(2, 30)]$
4830.q2	4830p1	4830.q	4830p	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{2} \cdot 3^{5} \cdot 5 \cdot 7 \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$19320$	$12$	$0$	$0.575401218$	$1$		$7$	$1920$	$0.178745$	$789145184521/17996580$	$0.87547$	$3.22946$	$[1, 0, 1, -193, -1024]$	$y^2+xy+y=x^3-193x-1024$	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(-8, 8)]$
4830.r1	4830r1	4830.r	4830r	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 7^{3} \cdot 23 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3220$	$12$	$0$	$0.641238463$	$1$		$11$	$46080$	$1.932806$	$138626767243242683688529/5300196249600$	$1.00753$	$6.28181$	$[1, 1, 1, -1078221, 430483779]$	$y^2+xy+y=x^3+x^2-1078221x+430483779$	2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.?	$[(439, 6260)]$
4830.r2	4830r2	4830.r	4830r	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{6} \cdot 3^{16} \cdot 5 \cdot 7^{6} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1.282476927$	$1$		$6$	$92160$	$2.279377$	$-138010547060620856386129/857302254769101120$	$1.00762$	$6.28254$	$[1, 1, 1, -1076621, 431827139]$	$y^2+xy+y=x^3+x^2-1076621x+431827139$	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[(441, 6340)]$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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