LMFDB - Elliptic curve search results

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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

Galois image	Adelic level	Adelic index	Adelic genus

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

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Results (42 matches)

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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
510.e7	510e6	510.e	510e	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 17 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{8} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.100	2B	$8160$	$768$	$13$	$1$	$1$		$2$	$1024$	$1.140167$	$3168685387909439/6278181696900$	$1.01379$	$5.86702$	$[1, 1, 1, 3060, 102705]$	$y^2+xy+y=x^3+x^2+3060x+102705$	2.3.0.a.1, 4.24.0-4.d.1.1, 8.96.0-8.n.1.6, 60.48.0-60.h.1.2, 120.192.1.?, $\ldots$	$[]$
1530.b7	1530c6	1530.b	1530c	$8$	$16$	$ 2 \cdot 3^{2} \cdot 5 \cdot 17 $	$ - 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 17^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$8160$	$768$	$13$	$1$	$1$		$0$	$8192$	$1.689472$	$3168685387909439/6278181696900$	$1.01379$	$5.88694$	$[1, -1, 0, 27540, -2745500]$	$y^2+xy=x^3-x^2+27540x-2745500$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 12.24.0-4.d.1.1, 20.24.0-4.d.1.2, $\ldots$	$[]$
2550.l7	2550h6	2550.l	2550h	$8$	$16$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 17^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$8160$	$768$	$13$	$1$	$1$		$0$	$24576$	$1.944885$	$3168685387909439/6278181696900$	$1.01379$	$5.89430$	$[1, 0, 1, 76499, 12685148]$	$y^2+xy+y=x^3+76499x+12685148$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 12.24.0-4.d.1.2, 20.24.0-4.d.1.1, $\ldots$	$[]$
4080.ba7	4080be6	4080.ba	4080be	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 \cdot 17 $	$ - 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 17^{8} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.102	2B	$8160$	$768$	$13$	$5.575948931$	$1$		$5$	$24576$	$1.833313$	$3168685387909439/6278181696900$	$1.01379$	$5.40004$	$[0, 1, 0, 48960, -6475212]$	$y^2=x^3+x^2+48960x-6475212$	2.3.0.a.1, 4.24.0-4.d.1.1, 8.96.0-8.n.1.1, 60.48.0-60.h.1.2, 120.192.1.?, $\ldots$	$[(891, 27300)]$
7650.bx7	7650ca6	7650.bx	7650ca	$8$	$16$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ - 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 17^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.98	2B	$8160$	$768$	$13$	$1$	$1$		$0$	$196608$	$2.494190$	$3168685387909439/6278181696900$	$1.01379$	$5.90729$	$[1, -1, 1, 688495, -342499003]$	$y^2+xy+y=x^3-x^2+688495x-342499003$	2.3.0.a.1, 4.24.0-4.d.1.2, 8.96.0-8.n.1.2, 60.48.0-60.h.1.1, 120.192.1.?, $\ldots$	$[]$
8670.v7	8670v6	8670.v	8670v	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 17^{2} $	$ - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{14} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.208	2B	$8160$	$768$	$13$	$6.925897456$	$1$		$2$	$294912$	$2.556774$	$3168685387909439/6278181696900$	$1.01379$	$5.90857$	$[1, 0, 0, 884334, 498400200]$	$y^2+xy=x^3+884334x+498400200$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 16.96.0-8.n.1.3, 60.24.0.h.1, $\ldots$	$[(356, 29120)]$
12240.o7	12240bm6	12240.o	12240bm	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 $	$ - 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$8160$	$768$	$13$	$7.362501028$	$1$		$3$	$196608$	$2.382618$	$3168685387909439/6278181696900$	$1.01379$	$5.47007$	$[0, 0, 0, 440637, 175271362]$	$y^2=x^3+440637x+175271362$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 12.24.0-4.d.1.1, 20.24.0-4.d.1.2, $\ldots$	$[(2703, 145310)]$
16320.m7	16320bt6	16320.m	16320bt	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5 \cdot 17 $	$ - 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.174	2B	$8160$	$768$	$13$	$1.922342756$	$1$		$5$	$196608$	$2.179886$	$3168685387909439/6278181696900$	$1.01379$	$5.05704$	$[0, -1, 0, 195839, -51997535]$	$y^2=x^3-x^2+195839x-51997535$	2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.1.5, 60.24.0.h.1, 120.192.1.?, $\ldots$	$[(283, 5100)]$
16320.bw7	16320bb6	16320.bw	16320bb	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5 \cdot 17 $	$ - 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.173	2B	$8160$	$768$	$13$	$0.910529712$	$1$		$7$	$196608$	$2.179886$	$3168685387909439/6278181696900$	$1.01379$	$5.05704$	$[0, 1, 0, 195839, 51997535]$	$y^2=x^3+x^2+195839x+51997535$	2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.1.3, 60.24.0.h.1, 120.192.1.?, $\ldots$	$[(-181, 3264)]$
20400.x7	20400bt6	20400.x	20400bt	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{14} \cdot 3^{2} \cdot 5^{8} \cdot 17^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$8160$	$768$	$13$	$1$	$1$		$1$	$589824$	$2.638031$	$3168685387909439/6278181696900$	$1.01379$	$5.49735$	$[0, -1, 0, 1223992, -811849488]$	$y^2=x^3-x^2+1223992x-811849488$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 12.24.0-4.d.1.2, 20.24.0-4.d.1.1, $\ldots$	$[]$
24990.cb7	24990bx5	24990.cb	24990bx	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 17^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$57120$	$768$	$13$	$1$	$4$	$2$	$0$	$393216$	$2.113121$	$3168685387909439/6278181696900$	$1.01379$	$4.76514$	$[1, 0, 0, 149939, -34778059]$	$y^2+xy=x^3+149939x-34778059$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 28.24.0-4.d.1.1, 56.96.0-8.n.1.2, $\ldots$	$[]$
26010.u7	26010r5	26010.u	26010r	$8$	$16$	$ 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} $	$ - 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 17^{14} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$8160$	$768$	$13$	$10.28212987$	$1$		$0$	$2359296$	$3.106079$	$3168685387909439/6278181696900$	$1.01379$	$5.91845$	$[1, -1, 0, 7959006, -13456805400]$	$y^2+xy=x^3-x^2+7959006x-13456805400$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 48.96.0-8.n.1.4, 60.24.0.h.1, $\ldots$	$[(86529/7, 26491611/7)]$
43350.p7	43350b5	43350.p	43350b	$8$	$16$	$ 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 17^{14} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$8160$	$768$	$13$	$3.708143293$	$1$		$2$	$7077888$	$3.361492$	$3168685387909439/6278181696900$	$1.01379$	$5.92235$	$[1, 1, 0, 22108350, 62300025000]$	$y^2+xy=x^3+x^2+22108350x+62300025000$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 48.96.0-8.n.1.5, 60.24.0.h.1, $\ldots$	$[(7090, 755080)]$
48960.en7	48960fd5	48960.en	48960fd	$8$	$16$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 $	$ - 2^{20} \cdot 3^{8} \cdot 5^{2} \cdot 17^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$8160$	$768$	$13$	$1$	$4$	$2$	$1$	$1572864$	$2.729195$	$3168685387909439/6278181696900$	$1.01379$	$5.15297$	$[0, 0, 0, 1762548, 1402170896]$	$y^2=x^3+1762548x+1402170896$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 24.96.0-8.n.1.3, 40.96.0-8.n.1.5, $\ldots$	$[]$
48960.et7	48960cl5	48960.et	48960cl	$8$	$16$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 $	$ - 2^{20} \cdot 3^{8} \cdot 5^{2} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$8160$	$768$	$13$	$11.32239785$	$1$		$1$	$1572864$	$2.729195$	$3168685387909439/6278181696900$	$1.01379$	$5.15297$	$[0, 0, 0, 1762548, -1402170896]$	$y^2=x^3+1762548x-1402170896$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 24.96.0-8.n.1.5, 40.96.0-8.n.1.5, $\ldots$	$[(551657/2, 409754475/2)]$
61200.ek7	61200ff5	61200.ek	61200ff	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ - 2^{14} \cdot 3^{8} \cdot 5^{8} \cdot 17^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.98	2B	$8160$	$768$	$13$	$1$	$1$		$1$	$4718592$	$3.187340$	$3168685387909439/6278181696900$	$1.01379$	$5.54745$	$[0, 0, 0, 11015925, 21908920250]$	$y^2=x^3+11015925x+21908920250$	2.3.0.a.1, 4.24.0-4.d.1.2, 8.96.0-8.n.1.2, 60.48.0-60.h.1.1, 120.192.1.?, $\ldots$	$[]$
61710.o7	61710n5	61710.o	61710n	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{6} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$89760$	$768$	$13$	$4.471638705$	$1$		$2$	$1310720$	$2.339115$	$3168685387909439/6278181696900$	$1.01379$	$4.62047$	$[1, 1, 0, 370258, -134849304]$	$y^2+xy=x^3+x^2+370258x-134849304$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 44.24.0-4.d.1.1, 60.24.0.h.1, $\ldots$	$[(1777, 77459)]$
69360.q7	69360cb5	69360.q	69360cb	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} $	$ - 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 17^{14} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.210	2B	$8160$	$768$	$13$	$1$	$4$	$2$	$1$	$7077888$	$3.249920$	$3168685387909439/6278181696900$	$1.01379$	$5.55253$	$[0, -1, 0, 14149344, -31897612800]$	$y^2=x^3-x^2+14149344x-31897612800$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 16.96.0-8.n.1.5, 60.24.0.h.1, $\ldots$	$[]$
74970.bf7	74970bx5	74970.bf	74970bx	$8$	$16$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 $	$ - 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 7^{6} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$57120$	$768$	$13$	$1.248414652$	$1$		$6$	$3145728$	$2.662426$	$3168685387909439/6278181696900$	$1.01379$	$4.88600$	$[1, -1, 0, 1349451, 939007593]$	$y^2+xy=x^3-x^2+1349451x+939007593$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 60.24.0.h.1, 84.24.0.?, $\ldots$	$[(87, 32469)]$
81600.cd7	81600c5	81600.cd	81600c	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{20} \cdot 3^{2} \cdot 5^{8} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$8160$	$768$	$13$	$3.168475221$	$1$		$3$	$4718592$	$2.984608$	$3168685387909439/6278181696900$	$1.01379$	$5.19123$	$[0, -1, 0, 4895967, 6489899937]$	$y^2=x^3-x^2+4895967x+6489899937$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 24.96.0-8.n.1.4, 40.96.0-8.n.1.3, $\ldots$	$[(-263, 72000)]$
81600.hw7	81600hu5	81600.hw	81600hu	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 $	$ - 2^{20} \cdot 3^{2} \cdot 5^{8} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$8160$	$768$	$13$	$17.80563257$	$1$		$1$	$4718592$	$2.984608$	$3168685387909439/6278181696900$	$1.01379$	$5.19123$	$[0, 1, 0, 4895967, -6489899937]$	$y^2=x^3+x^2+4895967x-6489899937$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 24.96.0-8.n.1.4, 40.96.0-8.n.1.4, $\ldots$	$[(278387553/344, 5469548074575/344)]$
86190.d7	86190d5	86190.d	86190d	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13^{6} \cdot 17^{8} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$106080$	$768$	$13$	$0.687938136$	$1$		$26$	$2359296$	$2.422642$	$3168685387909439/6278181696900$	$1.01379$	$4.57283$	$[1, 1, 0, 517137, 223057593]$	$y^2+xy=x^3+x^2+517137x+223057593$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 52.24.0-4.d.1.1, 60.24.0.h.1, $\ldots$	$[(879, 36408), (8104, 728563)]$
124950.cc7	124950z5	124950.cc	124950z	$8$	$16$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 7^{6} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$57120$	$768$	$13$	$0.943783299$	$1$		$6$	$9437184$	$2.917839$	$3168685387909439/6278181696900$	$1.01379$	$4.93449$	$[1, 1, 0, 3748475, -4347257375]$	$y^2+xy=x^3+x^2+3748475x-4347257375$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 60.24.0.h.1, 84.24.0.?, $\ldots$	$[(7080, 610585)]$
130050.fr7	130050bu6	130050.fr	130050bu	$8$	$16$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} $	$ - 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 17^{14} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.205	2B	$8160$	$768$	$13$	$33.04621499$	$1$		$0$	$56623104$	$3.910797$	$3168685387909439/6278181696900$	$1.01379$	$5.92959$	$[1, -1, 1, 198975145, -1681901699853]$	$y^2+xy+y=x^3-x^2+198975145x-1681901699853$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 16.96.0-8.n.1.4, 60.24.0.h.1, $\ldots$	$[(1896115223748491/501403, 62268714881355867172800/501403)]$
184110.w7	184110bc6	184110.w	184110bc	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} $	$ - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{8} \cdot 19^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$155040$	$768$	$13$	$2.976296727$	$1$		$4$	$7077888$	$2.612385$	$3168685387909439/6278181696900$	$1.01379$	$4.47437$	$[1, 0, 1, 1104652, -695617594]$	$y^2+xy+y=x^3+1104652x-695617594$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 60.24.0.h.1, 76.24.0.?, $\ldots$	$[(600, 13237)]$
185130.dv7	185130bg5	185130.dv	185130bg	$8$	$16$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 $	$ - 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 11^{6} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$89760$	$768$	$13$	$3.945270635$	$1$		$4$	$10485760$	$2.888420$	$3168685387909439/6278181696900$	$1.01379$	$4.74543$	$[1, -1, 1, 3332317, 3644263527]$	$y^2+xy+y=x^3-x^2+3332317x+3644263527$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 60.24.0.h.1, 120.96.1.?, $\ldots$	$[(-613, 37332)]$
199920.k7	199920dd5	199920.k	199920dd	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 $	$ - 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$57120$	$768$	$13$	$6.919544486$	$1$		$3$	$9437184$	$2.806267$	$3168685387909439/6278181696900$	$1.01379$	$4.63478$	$[0, -1, 0, 2399024, 2225795776]$	$y^2=x^3-x^2+2399024x+2225795776$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 28.24.0-4.d.1.1, 56.96.0-8.n.1.1, $\ldots$	$[(-742, 6054)]$
208080.fe7	208080o5	208080.fe	208080o	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} $	$ - 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 17^{14} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$8160$	$768$	$13$	$1$	$4$	$2$	$1$	$56623104$	$3.799225$	$3168685387909439/6278181696900$	$1.01379$	$5.59268$	$[0, 0, 0, 127344093, 861108201506]$	$y^2=x^3+127344093x+861108201506$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 48.96.0-8.n.1.3, 60.24.0.h.1, $\ldots$	$[]$
244800.ir7	244800ir5	244800.ir	244800ir	$8$	$16$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ - 2^{20} \cdot 3^{8} \cdot 5^{8} \cdot 17^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.171	2B	$8160$	$768$	$13$	$1$	$1$		$1$	$37748736$	$3.533913$	$3168685387909439/6278181696900$	$1.01379$	$5.26284$	$[0, 0, 0, 44063700, 175271362000]$	$y^2=x^3+44063700x+175271362000$	2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.1.4, 60.24.0.h.1, 120.192.1.?, $\ldots$	$[]$
244800.ko7	244800ko6	244800.ko	244800ko	$8$	$16$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ - 2^{20} \cdot 3^{8} \cdot 5^{8} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.171	2B	$8160$	$768$	$13$	$3.741143096$	$1$		$3$	$37748736$	$3.533913$	$3168685387909439/6278181696900$	$1.01379$	$5.26284$	$[0, 0, 0, 44063700, -175271362000]$	$y^2=x^3+44063700x-175271362000$	2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.1.4, 60.24.0.h.1, 120.192.1.?, $\ldots$	$[(24470, 3944000)]$
258570.ez7	258570ez6	258570.ez	258570ez	$8$	$16$	$ 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 $	$ - 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 13^{6} \cdot 17^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$106080$	$768$	$13$	$1$	$4$	$2$	$0$	$18874368$	$2.971947$	$3168685387909439/6278181696900$	$1.01379$	$4.69864$	$[1, -1, 1, 4654228, -6017900781]$	$y^2+xy+y=x^3-x^2+4654228x-6017900781$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 60.24.0.h.1, 120.96.1.?, $\ldots$	$[]$
269790.bb7	269790bb6	269790.bb	269790bb	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 17 \cdot 23^{2} $	$ - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{8} \cdot 23^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$187680$	$768$	$13$	$10.24231866$	$1$		$0$	$12976128$	$2.707912$	$3168685387909439/6278181696900$	$1.01379$	$4.42932$	$[1, 1, 1, 1618729, -1233426607]$	$y^2+xy+y=x^3+x^2+1618729x-1233426607$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 60.24.0.h.1, 92.24.0.?, $\ldots$	$[(32611/3, 6121136/3)]$
277440.dv7	277440dv5	277440.dv	277440dv	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} $	$ - 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 17^{14} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.209	2B	$8160$	$768$	$13$	$1$	$4$	$2$	$1$	$56623104$	$3.596493$	$3168685387909439/6278181696900$	$1.01379$	$5.27020$	$[0, -1, 0, 56597375, 255124305025]$	$y^2=x^3-x^2+56597375x+255124305025$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 16.96.0-8.n.1.6, 60.24.0.h.1, $\ldots$	$[]$
277440.ih7	277440ih6	277440.ih	277440ih	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} $	$ - 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 17^{14} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.207	2B	$8160$	$768$	$13$	$1$	$16$	$2$	$1$	$56623104$	$3.596493$	$3168685387909439/6278181696900$	$1.01379$	$5.27020$	$[0, 1, 0, 56597375, -255124305025]$	$y^2=x^3+x^2+56597375x-255124305025$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 16.96.0-8.n.1.1, 60.24.0.h.1, $\ldots$	$[]$
308550.iz7	308550iz6	308550.iz	308550iz	$8$	$16$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 11^{6} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$89760$	$768$	$13$	$4.670086251$	$1$		$2$	$31457280$	$3.143833$	$3168685387909439/6278181696900$	$1.01379$	$4.79613$	$[1, 0, 0, 9256437, -16874675883]$	$y^2+xy=x^3+9256437x-16874675883$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 60.24.0.h.1, 120.96.1.?, $\ldots$	$[(89982, 26962059)]$
346800.jc7	346800jc6	346800.jc	346800jc	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} $	$ - 2^{14} \cdot 3^{2} \cdot 5^{8} \cdot 17^{14} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$8160$	$768$	$13$	$36.70969829$	$1$		$1$	$169869312$	$4.054642$	$3168685387909439/6278181696900$	$1.01379$	$5.60899$	$[0, 1, 0, 353733592, -3986494132812]$	$y^2=x^3+x^2+353733592x-3986494132812$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 48.96.0-8.n.1.5, 60.24.0.h.1, $\ldots$	$[(28723054320621553/1751344, 2062229541689498720558025/1751344)]$
374850.iq7	374850iq5	374850.iq	374850iq	$8$	$16$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 $	$ - 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 7^{6} \cdot 17^{8} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$57120$	$768$	$13$	$27.89127757$	$1$		$6$	$75497472$	$3.467148$	$3168685387909439/6278181696900$	$1.01379$	$5.02569$	$[1, -1, 1, 33736270, 117409685397]$	$y^2+xy+y=x^3-x^2+33736270x+117409685397$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 28.24.0-4.d.1.2, 56.96.0-8.n.1.6, $\ldots$	$[(-2511, 131105), (6689, 798105)]$
424830.fk7	424830fk6	424830.fk	424830fk	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} $	$ - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 17^{14} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$57120$	$768$	$13$	$1$	$4$	$2$	$0$	$113246208$	$3.529728$	$3168685387909439/6278181696900$	$1.01379$	$5.03510$	$[1, 1, 1, 43332365, -170907936235]$	$y^2+xy+y=x^3+x^2+43332365x-170907936235$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 60.24.0.h.1, 112.96.0.?, $\ldots$	$[]$
428910.bh7	428910bh5	428910.bh	428910bh	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 17 \cdot 29^{2} $	$ - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{8} \cdot 29^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$236640$	$768$	$13$	$3.743873837$	$1$		$2$	$25690112$	$2.823814$	$3168685387909439/6278181696900$	$1.01379$	$4.37822$	$[1, 0, 1, 2573442, 2473995268]$	$y^2+xy+y=x^3+2573442x+2473995268$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 60.24.0.h.1, 116.24.0.?, $\ldots$	$[(1114, 81440)]$
430950.hp7	430950hp5	430950.hp	430950hp	$8$	$16$	$ 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 13^{6} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$106080$	$768$	$13$	$6.955022651$	$1$		$2$	$56623104$	$3.227360$	$3168685387909439/6278181696900$	$1.01379$	$4.74988$	$[1, 0, 0, 12928412, 27856342292]$	$y^2+xy=x^3+12928412x+27856342292$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 60.24.0.h.1, 120.96.1.?, $\ldots$	$[(16888, 2241622)]$
490110.dd7	490110dd6	490110.dd	490110dd	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} $	$ - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{8} \cdot 31^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$252960$	$768$	$13$	$8.348995378$	$4$	$2$	$0$	$29491200$	$2.857159$	$3168685387909439/6278181696900$	$1.01379$	$4.36419$	$[1, 0, 0, 2940640, -3021461628]$	$y^2+xy=x^3+2940640x-3021461628$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 60.24.0.h.1, 120.96.1.?, $\ldots$	$[(11791/2, 1402709/2)]$
493680.ha7	493680ha5	493680.ha	493680ha	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 $	$ - 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 11^{6} \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.199	2B	$89760$	$768$	$13$	$5.134025189$	$4$	$2$	$3$	$31457280$	$3.032261$	$3168685387909439/6278181696900$	$1.01379$	$4.52206$	$[0, 1, 0, 5924120, 8642203700]$	$y^2=x^3+x^2+5924120x+8642203700$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.1, 44.24.0-4.d.1.1, 60.24.0.h.1, $\ldots$	$[(-697, 64614)]$

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

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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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