Elliptic curve search results

Results (17 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	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
5160.l2	5160d2	5160.l	5160d	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{4} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1032$	$48$	$0$	$1$	$1$		$3$	$20480$	$1.384264$	$513591322675396/68238500625$	$0.95257$	$4.77312$	$[0, 1, 0, -16816, 731120]$	\(y^2=x^3+x^2-16816x+731120\)	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, 172.12.0.?, $\ldots$	$[ ]$
10320.b2	10320d2	10320.b	10320d	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{4} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1032$	$48$	$0$	$1$	$1$		$3$	$40960$	$1.384264$	$513591322675396/68238500625$	$0.95257$	$4.41513$	$[0, -1, 0, -16816, -731120]$	\(y^2=x^3-x^2-16816x-731120\)	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.3, 172.12.0.?, $\ldots$	$[ ]$
15480.q2	15480n2	15480.q	15480n	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{10} \cdot 3^{16} \cdot 5^{4} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1032$	$48$	$0$	$1$	$4$	$2$	$3$	$163840$	$1.933571$	$513591322675396/68238500625$	$0.95257$	$4.91283$	$[0, 0, 0, -151347, -19891586]$	\(y^2=x^3-151347x-19891586\)	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.4, 344.24.0.?, 516.24.0.?, $\ldots$	$[ ]$
25800.a2	25800x2	25800.a	25800x	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{10} \cdot 43^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$5160$	$48$	$0$	$5.931950402$	$1$		$3$	$491520$	$2.188984$	$513591322675396/68238500625$	$0.95257$	$4.96750$	$[0, -1, 0, -420408, 92230812]$	\(y^2=x^3-x^2-420408x+92230812\)	2.6.0.a.1, 24.12.0.b.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$	$[(4918/3, 136000/3)]$
30960.bd2	30960q2	30960.bd	30960q	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{10} \cdot 3^{16} \cdot 5^{4} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1032$	$48$	$0$	$1$	$1$		$3$	$327680$	$1.933571$	$513591322675396/68238500625$	$0.95257$	$4.58351$	$[0, 0, 0, -151347, 19891586]$	\(y^2=x^3-151347x+19891586\)	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.1, 344.24.0.?, 516.24.0.?, $\ldots$	$[ ]$
41280.bt2	41280v2	41280.bt	41280v	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{16} \cdot 3^{10} \cdot 5^{4} \cdot 43^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1032$	$48$	$0$	$3.443077699$	$1$		$7$	$327680$	$1.730839$	$513591322675396/68238500625$	$0.95257$	$4.23055$	$[0, -1, 0, -67265, 5916225]$	\(y^2=x^3-x^2-67265x+5916225\)	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.1, 344.24.0.?, 516.24.0.?, $\ldots$	$[(195, 420)]$
41280.cs2	41280dl2	41280.cs	41280dl	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{16} \cdot 3^{10} \cdot 5^{4} \cdot 43^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1032$	$48$	$0$	$1.691148702$	$1$		$33$	$327680$	$1.730839$	$513591322675396/68238500625$	$0.95257$	$4.23055$	$[0, 1, 0, -67265, -5916225]$	\(y^2=x^3+x^2-67265x-5916225\)	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.4, 344.24.0.?, 516.24.0.?, $\ldots$	$[(-155, 900), (-185, 480)]$
51600.du2	51600w2	51600.du	51600w	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{10} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$5160$	$48$	$0$	$1$	$1$		$3$	$983040$	$2.188984$	$513591322675396/68238500625$	$0.95257$	$4.65019$	$[0, 1, 0, -420408, -92230812]$	\(y^2=x^3+x^2-420408x-92230812\)	2.6.0.a.1, 24.12.0.b.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$	$[ ]$
77400.c2	77400p2	77400.c	77400p	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{10} \cdot 3^{16} \cdot 5^{10} \cdot 43^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$5160$	$48$	$0$	$7.897514191$	$1$		$3$	$3932160$	$2.738289$	$513591322675396/68238500625$	$0.95257$	$5.06827$	$[0, 0, 0, -3783675, -2486448250]$	\(y^2=x^3-3783675x-2486448250\)	2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 120.24.0.?, 344.12.0.?, $\ldots$	$[(-11270/3, 458200/3)]$
123840.e2	123840ez2	123840.e	123840ez	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{16} \cdot 3^{16} \cdot 5^{4} \cdot 43^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1032$	$48$	$0$	$3.657436870$	$1$		$9$	$2621440$	$2.280144$	$513591322675396/68238500625$	$0.95257$	$4.39632$	$[0, 0, 0, -605388, 159132688]$	\(y^2=x^3-605388x+159132688\)	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, 172.12.0.?, $\ldots$	$[(701, 8901)]$
123840.dg2	123840cf2	123840.dg	123840cf	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{16} \cdot 3^{16} \cdot 5^{4} \cdot 43^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1032$	$48$	$0$	$11.61062353$	$1$		$3$	$2621440$	$2.280144$	$513591322675396/68238500625$	$0.95257$	$4.39632$	$[0, 0, 0, -605388, -159132688]$	\(y^2=x^3-605388x-159132688\)	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.3, 172.12.0.?, $\ldots$	$[(-202396/19, 13801088/19)]$
154800.fw2	154800gg2	154800.fw	154800gg	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{10} \cdot 3^{16} \cdot 5^{10} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$5160$	$48$	$0$	$1$	$1$		$3$	$7864320$	$2.738289$	$513591322675396/68238500625$	$0.95257$	$4.77429$	$[0, 0, 0, -3783675, 2486448250]$	\(y^2=x^3-3783675x+2486448250\)	2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 120.24.0.?, 344.12.0.?, $\ldots$	$[ ]$
206400.ey2	206400fe2	206400.ey	206400fe	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{16} \cdot 3^{10} \cdot 5^{10} \cdot 43^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$5160$	$48$	$0$	$16.89196092$	$1$		$3$	$7864320$	$2.535557$	$513591322675396/68238500625$	$0.95257$	$4.46326$	$[0, -1, 0, -1681633, -736164863]$	\(y^2=x^3-x^2-1681633x-736164863\)	2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 120.24.0.?, 344.12.0.?, $\ldots$	$[(-92817448/329, 307519877925/329)]$
206400.fw2	206400gi2	206400.fw	206400gi	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{16} \cdot 3^{10} \cdot 5^{10} \cdot 43^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$5160$	$48$	$0$	$1$	$1$		$3$	$7864320$	$2.535557$	$513591322675396/68238500625$	$0.95257$	$4.46326$	$[0, 1, 0, -1681633, 736164863]$	\(y^2=x^3+x^2-1681633x+736164863\)	2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 120.24.0.?, 344.12.0.?, $\ldots$	$[ ]$
221880.i2	221880h2	221880.i	221880h	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{10} \cdot 3^{10} \cdot 5^{4} \cdot 43^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1032$	$48$	$0$	$1$	$4$	$2$	$3$	$37847040$	$3.264866$	$513591322675396/68238500625$	$0.95257$	$5.14798$	$[0, -1, 0, -31093400, -58564462500]$	\(y^2=x^3-x^2-31093400x-58564462500\)	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.6, 344.24.0.?, 516.24.0.?, $\ldots$	$[ ]$
252840.bb2	252840bb2	252840.bb	252840bb	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{4} \cdot 7^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$7224$	$48$	$0$	$5.284086625$	$1$		$5$	$5898240$	$2.357220$	$513591322675396/68238500625$	$0.95257$	$4.21843$	$[0, -1, 0, -824000, -252422148]$	\(y^2=x^3-x^2-824000x-252422148\)	2.6.0.a.1, 24.12.0.b.1, 56.12.0-2.a.1.1, 84.12.0.?, 168.24.0.?, $\ldots$	$[(-411, 4080)]$
443760.dg2	443760dg2	443760.dg	443760dg	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{10} \cdot 3^{10} \cdot 5^{4} \cdot 43^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1032$	$48$	$0$	$1$	$1$		$3$	$75694080$	$3.264866$	$513591322675396/68238500625$	$0.95257$	$4.87356$	$[0, 1, 0, -31093400, 58564462500]$	\(y^2=x^3+x^2-31093400x+58564462500\)	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.6, 344.24.0.?, 516.24.0.?, $\ldots$	$[ ]$

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