Elliptic curve search results

Results (19 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
5928.m2	5928h2	5928.m	5928h	$4$	$4$	\( 2^{3} \cdot 3 \cdot 13 \cdot 19 \)	\( 2^{8} \cdot 3^{10} \cdot 13^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$2964$	$48$	$0$	$2.556284807$	$1$		$7$	$11520$	$1.213396$	$3462397543530448/3602520441$	$1.00447$	$4.75697$	$[0, 1, 0, -20012, -1095360]$	\(y^2=x^3+x^2-20012x-1095360\)	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 988.24.0.?, 2964.48.0.?	$[(220, 2280)]$
11856.p2	11856f2	11856.p	11856f	$4$	$4$	\( 2^{4} \cdot 3 \cdot 13 \cdot 19 \)	\( 2^{8} \cdot 3^{10} \cdot 13^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$2964$	$48$	$0$	$5.355428396$	$1$		$3$	$23040$	$1.213396$	$3462397543530448/3602520441$	$1.00447$	$4.40547$	$[0, -1, 0, -20012, 1095360]$	\(y^2=x^3-x^2-20012x+1095360\)	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 988.24.0.?, 2964.48.0.?	$[(1081/3, 17290/3)]$
17784.c2	17784q2	17784.c	17784q	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 19 \)	\( 2^{8} \cdot 3^{16} \cdot 13^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$2964$	$48$	$0$	$1$	$1$		$3$	$92160$	$1.762701$	$3462397543530448/3602520441$	$1.00447$	$4.89652$	$[0, 0, 0, -180111, 29394610]$	\(y^2=x^3-180111x+29394610\)	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 988.24.0.?, 2964.48.0.?	$[ ]$
35568.l2	35568s2	35568.l	35568s	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 19 \)	\( 2^{8} \cdot 3^{16} \cdot 13^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$2964$	$48$	$0$	$1$	$4$	$2$	$3$	$184320$	$1.762701$	$3462397543530448/3602520441$	$1.00447$	$4.57264$	$[0, 0, 0, -180111, -29394610]$	\(y^2=x^3-180111x-29394610\)	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 988.24.0.?, 2964.48.0.?	$[ ]$
47424.g2	47424o2	47424.g	47424o	$4$	$4$	\( 2^{6} \cdot 3 \cdot 13 \cdot 19 \)	\( 2^{14} \cdot 3^{10} \cdot 13^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$5928$	$48$	$0$	$1$	$1$		$3$	$184320$	$1.559969$	$3462397543530448/3602520441$	$1.00447$	$4.22451$	$[0, -1, 0, -80049, -8682831]$	\(y^2=x^3-x^2-80049x-8682831\)	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.2, 988.12.0.?, $\ldots$	$[ ]$
47424.cc2	47424cz2	47424.cc	47424cz	$4$	$4$	\( 2^{6} \cdot 3 \cdot 13 \cdot 19 \)	\( 2^{14} \cdot 3^{10} \cdot 13^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$5928$	$48$	$0$	$0.803013720$	$1$		$15$	$184320$	$1.559969$	$3462397543530448/3602520441$	$1.00447$	$4.22451$	$[0, 1, 0, -80049, 8682831]$	\(y^2=x^3+x^2-80049x+8682831\)	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.1, 988.12.0.?, $\ldots$	$[(141, 468)]$
77064.q2	77064y2	77064.q	77064y	$4$	$4$	\( 2^{3} \cdot 3 \cdot 13^{2} \cdot 19 \)	\( 2^{8} \cdot 3^{10} \cdot 13^{8} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2964$	$48$	$0$	$1$	$1$		$3$	$1935360$	$2.495869$	$3462397543530448/3602520441$	$1.00447$	$5.04032$	$[0, 1, 0, -3382084, -2392977664]$	\(y^2=x^3+x^2-3382084x-2392977664\)	2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.1, 76.12.0.?, 156.24.0.?, $\ldots$	$[ ]$
112632.k2	112632n2	112632.k	112632n	$4$	$4$	\( 2^{3} \cdot 3 \cdot 13 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{10} \cdot 13^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2964$	$48$	$0$	$7.145067579$	$1$		$3$	$4147200$	$2.685616$	$3462397543530448/3602520441$	$1.00447$	$5.07163$	$[0, -1, 0, -7224452, 7469727780]$	\(y^2=x^3-x^2-7224452x+7469727780\)	2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.1, 76.12.0.?, 156.24.0.?, $\ldots$	$[(-79868/9, 85120190/9)]$
142272.fg2	142272ff2	142272.fg	142272ff	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 19 \)	\( 2^{14} \cdot 3^{16} \cdot 13^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$5928$	$48$	$0$	$5.210230965$	$1$		$5$	$1474560$	$2.109276$	$3462397543530448/3602520441$	$1.00447$	$4.38890$	$[0, 0, 0, -720444, 235156880]$	\(y^2=x^3-720444x+235156880\)	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.2, 988.12.0.?, $\ldots$	$[(-772, 18200)]$
142272.fj2	142272bv2	142272.fj	142272bv	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 19 \)	\( 2^{14} \cdot 3^{16} \cdot 13^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$5928$	$48$	$0$	$15.25956797$	$1$		$3$	$1474560$	$2.109276$	$3462397543530448/3602520441$	$1.00447$	$4.38890$	$[0, 0, 0, -720444, -235156880]$	\(y^2=x^3-720444x-235156880\)	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.1, 988.12.0.?, $\ldots$	$[(41752733/167, 210451017555/167)]$
148200.k2	148200bc2	148200.k	148200bc	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 19 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{6} \cdot 13^{2} \cdot 19^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$14820$	$48$	$0$	$7.445207905$	$1$		$21$	$1474560$	$2.018116$	$3462397543530448/3602520441$	$1.00447$	$4.28197$	$[0, -1, 0, -500308, -135919388]$	\(y^2=x^3-x^2-500308x-135919388\)	2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.2, 988.12.0.?, $\ldots$	$[(-408, 350), (1292, 37050)]$
154128.m2	154128db2	154128.m	154128db	$4$	$4$	\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 19 \)	\( 2^{8} \cdot 3^{10} \cdot 13^{8} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2964$	$48$	$0$	$3.872859162$	$1$		$7$	$3870720$	$2.495869$	$3462397543530448/3602520441$	$1.00447$	$4.74785$	$[0, -1, 0, -3382084, 2392977664]$	\(y^2=x^3-x^2-3382084x+2392977664\)	2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.1, 76.12.0.?, 156.24.0.?, $\ldots$	$[(64, 46656)]$
225264.cm2	225264ce2	225264.cm	225264ce	$4$	$4$	\( 2^{4} \cdot 3 \cdot 13 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{10} \cdot 13^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2964$	$48$	$0$	$12.61891056$	$1$		$3$	$8294400$	$2.685616$	$3462397543530448/3602520441$	$1.00447$	$4.78640$	$[0, 1, 0, -7224452, -7469727780]$	\(y^2=x^3+x^2-7224452x-7469727780\)	2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.1, 76.12.0.?, 156.24.0.?, $\ldots$	$[(-2094341/37, 106410990/37)]$
231192.bm2	231192bm2	231192.bm	231192bm	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13^{2} \cdot 19 \)	\( 2^{8} \cdot 3^{16} \cdot 13^{8} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2964$	$48$	$0$	$15.84715405$	$1$		$3$	$15482880$	$3.045177$	$3462397543530448/3602520441$	$1.00447$	$5.12568$	$[0, 0, 0, -30438759, 64579958170]$	\(y^2=x^3-30438759x+64579958170\)	2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.1, 76.12.0.?, 156.24.0.?, $\ldots$	$[(-202502095/206, 2780502712785/206)]$
290472.d2	290472d2	290472.d	290472d	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 19 \)	\( 2^{8} \cdot 3^{10} \cdot 7^{6} \cdot 13^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$20748$	$48$	$0$	$3.886061915$	$1$		$5$	$4423680$	$2.186352$	$3462397543530448/3602520441$	$1.00447$	$4.21339$	$[0, -1, 0, -980604, 373747284]$	\(y^2=x^3-x^2-980604x+373747284\)	2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 84.24.0.?, 988.12.0.?, $\ldots$	$[(1405, 42042)]$
296400.gb2	296400gb2	296400.gb	296400gb	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 19 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{6} \cdot 13^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$14820$	$48$	$0$	$1.543094260$	$1$		$9$	$2949120$	$2.018116$	$3462397543530448/3602520441$	$1.00447$	$4.04641$	$[0, 1, 0, -500308, 135919388]$	\(y^2=x^3+x^2-500308x+135919388\)	2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.1, 988.12.0.?, $\ldots$	$[(323, 2850)]$
337896.i2	337896i2	337896.i	337896i	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{16} \cdot 13^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2964$	$48$	$0$	$32.53864119$	$1$		$3$	$33177600$	$3.234921$	$3462397543530448/3602520441$	$1.00447$	$5.15174$	$[0, 0, 0, -65020071, -201617629990]$	\(y^2=x^3-65020071x-201617629990\)	2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.2, 76.12.0.?, 156.24.0.?, $\ldots$	$[(-2075002261103117/675913, 517800338840529847152/675913)]$
444600.cj2	444600cj2	444600.cj	444600cj	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 19 \)	\( 2^{8} \cdot 3^{16} \cdot 5^{6} \cdot 13^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$14820$	$48$	$0$	$1$	$1$		$3$	$11796480$	$2.567421$	$3462397543530448/3602520441$	$1.00447$	$4.42711$	$[0, 0, 0, -4502775, 3674326250]$	\(y^2=x^3-4502775x+3674326250\)	2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.2, 988.12.0.?, $\ldots$	$[ ]$
462384.es2	462384es2	462384.es	462384es	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 19 \)	\( 2^{8} \cdot 3^{16} \cdot 13^{8} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2964$	$48$	$0$	$1$	$16$	$2$	$3$	$30965760$	$3.045177$	$3462397543530448/3602520441$	$1.00447$	$4.85331$	$[0, 0, 0, -30438759, -64579958170]$	\(y^2=x^3-30438759x-64579958170\)	2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.1, 76.12.0.?, 156.24.0.?, $\ldots$	$[ ]$

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