Elliptic curve search results

Results (26 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	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
1290.a1	1290a2	1290.a	1290a	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$0$	$480$	$0.252324$	$14457238157881/4437600$	$0.93485$	$4.23074$	$[1, 1, 0, -507, -4611]$	\(y^2+xy=x^3+x^2-507x-4611\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
3870.r1	3870p2	3870.r	3870p	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{5} \cdot 3^{7} \cdot 5^{2} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$0.177360025$	$1$		$12$	$3840$	$0.801630$	$14457238157881/4437600$	$0.93485$	$4.46603$	$[1, -1, 1, -4568, 119931]$	\(y^2+xy+y=x^3-x^2-4568x+119931\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(35, 27)]$
6450.bj1	6450bg2	6450.bj	6450bg	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{5} \cdot 3 \cdot 5^{8} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$0$	$11520$	$1.057043$	$14457238157881/4437600$	$0.93485$	$4.55536$	$[1, 0, 0, -12688, -551008]$	\(y^2+xy=x^3-12688x-551008\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
10320.bi1	10320be2	10320.bi	10320be	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{17} \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1.164362832$	$1$		$3$	$11520$	$0.945471$	$14457238157881/4437600$	$0.93485$	$4.17882$	$[0, 1, 0, -8120, 278868]$	\(y^2=x^3+x^2-8120x+278868\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(6, 480)]$
19350.t1	19350t2	19350.t	19350t	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{5} \cdot 3^{7} \cdot 5^{8} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1.649190555$	$1$		$6$	$92160$	$1.606348$	$14457238157881/4437600$	$0.93485$	$4.71615$	$[1, -1, 0, -114192, 14877216]$	\(y^2+xy=x^3-x^2-114192x+14877216\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(199, -37)]$
30960.k1	30960bj2	30960.k	30960bj	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{17} \cdot 3^{7} \cdot 5^{2} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$92160$	$1.494778$	$14457238157881/4437600$	$0.93485$	$4.37231$	$[0, 0, 0, -73083, -7602518]$	\(y^2=x^3-73083x-7602518\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
41280.m1	41280bw2	41280.m	41280bw	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{23} \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$92160$	$1.292044$	$14457238157881/4437600$	$0.93485$	$4.02506$	$[0, -1, 0, -32481, 2263425]$	\(y^2=x^3-x^2-32481x+2263425\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
41280.cf1	41280bb2	41280.cf	41280bb	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{23} \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$4.991729581$	$1$		$1$	$92160$	$1.292044$	$14457238157881/4437600$	$0.93485$	$4.02506$	$[0, 1, 0, -32481, -2263425]$	\(y^2=x^3+x^2-32481x-2263425\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(5323/3, 368000/3)]$
51600.bc1	51600bl2	51600.bc	51600bl	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{17} \cdot 3 \cdot 5^{8} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$276480$	$1.750191$	$14457238157881/4437600$	$0.93485$	$4.44893$	$[0, -1, 0, -203008, 35264512]$	\(y^2=x^3-x^2-203008x+35264512\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
55470.be1	55470bf2	55470.be	55470bf	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 43^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$0$	$887040$	$2.132923$	$14457238157881/4437600$	$0.93485$	$4.83993$	$[1, 0, 0, -938406, 349721220]$	\(y^2+xy=x^3-938406x+349721220\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
63210.v1	63210u2	63210.v	63210u	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$3.155759271$	$1$		$2$	$184320$	$1.225279$	$14457238157881/4437600$	$0.93485$	$3.79744$	$[1, 0, 1, -24869, 1506992]$	\(y^2+xy+y=x^3-24869x+1506992\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(200, 2031)]$
123840.fb1	123840cw2	123840.fb	123840cw	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{23} \cdot 3^{7} \cdot 5^{2} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$737280$	$1.841351$	$14457238157881/4437600$	$0.93485$	$4.21008$	$[0, 0, 0, -292332, 60820144]$	\(y^2=x^3-292332x+60820144\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
123840.fc1	123840fs2	123840.fc	123840fs	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{23} \cdot 3^{7} \cdot 5^{2} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$737280$	$1.841351$	$14457238157881/4437600$	$0.93485$	$4.21008$	$[0, 0, 0, -292332, -60820144]$	\(y^2=x^3-292332x-60820144\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
154800.dl1	154800cm2	154800.dl	154800cm	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{17} \cdot 3^{7} \cdot 5^{8} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1.720725309$	$1$		$7$	$2211840$	$2.299496$	$14457238157881/4437600$	$0.93485$	$4.59153$	$[0, 0, 0, -1827075, -950314750]$	\(y^2=x^3-1827075x-950314750\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(-785, 450)]$
156090.bg1	156090w2	156090.bg	156090w	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 11^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1.532321487$	$1$		$4$	$691200$	$1.451271$	$14457238157881/4437600$	$0.93485$	$3.73715$	$[1, 1, 1, -61410, 5830287]$	\(y^2+xy+y=x^3+x^2-61410x+5830287\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(171, 519)]$
166410.z1	166410bp2	166410.z	166410bp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( 2^{5} \cdot 3^{7} \cdot 5^{2} \cdot 43^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$0$	$7096320$	$2.682232$	$14457238157881/4437600$	$0.93485$	$4.94594$	$[1, -1, 0, -8445654, -9442472940]$	\(y^2+xy=x^3-x^2-8445654x-9442472940\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
189630.eo1	189630n2	189630.eo	189630n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{5} \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$3.027322494$	$1$		$2$	$1474560$	$1.774586$	$14457238157881/4437600$	$0.93485$	$3.99655$	$[1, -1, 1, -223817, -40688791]$	\(y^2+xy+y=x^3-x^2-223817x-40688791\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(723, 12868)]$
206400.co1	206400js2	206400.co	206400js	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{23} \cdot 3 \cdot 5^{8} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$6.894390357$	$1$		$3$	$2211840$	$2.096764$	$14457238157881/4437600$	$0.93485$	$4.28480$	$[0, -1, 0, -812033, -281304063]$	\(y^2=x^3-x^2-812033x-281304063\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(10512, 1073625)]$
206400.ia1	206400bu2	206400.ia	206400bu	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{23} \cdot 3 \cdot 5^{8} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$2211840$	$2.096764$	$14457238157881/4437600$	$0.93485$	$4.28480$	$[0, 1, 0, -812033, 281304063]$	\(y^2=x^3+x^2-812033x+281304063\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
218010.bn1	218010bc2	218010.bn	218010bc	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 43 \)	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$0$	$1036800$	$1.534798$	$14457238157881/4437600$	$0.93485$	$3.71712$	$[1, 1, 1, -85771, -9701671]$	\(y^2+xy+y=x^3+x^2-85771x-9701671\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
277350.o1	277350o2	277350.o	277350o	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	\( 2^{5} \cdot 3 \cdot 5^{8} \cdot 43^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$14.95657318$	$1$		$6$	$21288960$	$2.937641$	$14457238157881/4437600$	$0.93485$	$4.98890$	$[1, 1, 0, -23460150, 43715152500]$	\(y^2+xy=x^3+x^2-23460150x+43715152500\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(3221, 38143), (5263325/44, 410293575/44)]$
316050.fz1	316050fz2	316050.fz	316050fz	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( 2^{5} \cdot 3 \cdot 5^{8} \cdot 7^{6} \cdot 43^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$2.354135439$	$1$		$16$	$4423680$	$2.029999$	$14457238157881/4437600$	$0.93485$	$4.07736$	$[1, 1, 1, -621713, 188374031]$	\(y^2+xy+y=x^3+x^2-621713x+188374031\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(395, 1952), (461, -280)]$
372810.bi1	372810bi2	372810.bi	372810bi	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 43 \)	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 17^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$0$	$2488320$	$1.668930$	$14457238157881/4437600$	$0.93485$	$3.68713$	$[1, 0, 1, -146674, -21627484]$	\(y^2+xy+y=x^3-146674x-21627484\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
443760.i1	443760i2	443760.i	443760i	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{17} \cdot 3 \cdot 5^{2} \cdot 43^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$16.57348720$	$1$		$1$	$21288960$	$2.826073$	$14457238157881/4437600$	$0.93485$	$4.70561$	$[0, -1, 0, -15014496, -22382158080]$	\(y^2=x^3-x^2-15014496x-22382158080\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(3724461281/568, 212338407750991/568)]$
465690.cm1	465690cm2	465690.cm	465690cm	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 19^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1.953710386$	$1$		$2$	$3317760$	$1.724543$	$14457238157881/4437600$	$0.93485$	$3.67541$	$[1, 0, 0, -183215, 30161625]$	\(y^2+xy=x^3-183215x+30161625\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(2082, 92097)]$
468270.n1	468270n2	468270.n	468270n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2^{5} \cdot 3^{7} \cdot 5^{2} \cdot 11^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$0$	$5529600$	$2.000576$	$14457238157881/4437600$	$0.93485$	$3.92755$	$[1, -1, 0, -552690, -157970444]$	\(y^2+xy=x^3-x^2-552690x-157970444\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$