Elliptic curve search results

Results (16 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
6006.bb1	6006bd5	6006.bb	6006bd	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 11 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.48.0.177	2B	$1232$	$192$	$1$	$5.108081866$	$4$	$2$	$0$	$786432$	$3.104218$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$8.03072$	$[1, 0, 0, -271443794, -1721367884082]$	\(y^2+xy=x^3-271443794x-1721367884082\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 88.96.0.?, 112.96.0.?, $\ldots$	$[(202051/2, 85009439/2)]$
18018.n1	18018h5	18018.n	18018h	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{10} \cdot 7^{8} \cdot 11 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$3696$	$192$	$1$	$4.082541737$	$1$		$2$	$6291456$	$3.653522$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$7.80305$	$[1, -1, 0, -2442994146, 46476932870214]$	\(y^2+xy=x^3-x^2-2442994146x+46476932870214\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.1, 24.48.0-8.bb.2.6, $\ldots$	$[(43543, 4738211)]$
42042.ck1	42042ck6	42042.ck	42042ck	$6$	$8$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{4} \cdot 7^{14} \cdot 11 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.126	2B	$1232$	$192$	$1$	$1$	$16$	$2$	$0$	$37748736$	$4.077171$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$7.65955$	$[1, 1, 1, -13300745907, 590415883494219]$	\(y^2+xy+y=x^3+x^2-13300745907x+590415883494219\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0-8.bb.2.8, 28.12.0-4.c.1.1, $\ldots$	$[ ]$
48048.k1	48048bs6	48048.k	48048bs	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{13} \cdot 3^{4} \cdot 7^{8} \cdot 11 \cdot 13^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.161	2B	$1232$	$192$	$1$	$1$	$1$		$3$	$18874368$	$3.797363$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$7.25320$	$[0, -1, 0, -4343100704, 110167544581248]$	\(y^2=x^3-x^2-4343100704x+110167544581248\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.4, 88.96.0.?, 112.96.0.?, $\ldots$	$[ ]$
66066.ba1	66066be6	66066.ba	66066be	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 11^{7} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.211	2B	$1232$	$192$	$1$	$1$	$1$		$0$	$94371840$	$4.303162$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$7.59197$	$[1, 0, 1, -32844699077, 2291107809014066]$	\(y^2+xy+y=x^3-32844699077x+2291107809014066\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.8, 44.12.0-4.c.1.1, 88.96.0.?, $\ldots$	$[ ]$
78078.bm1	78078bm6	78078.bm	78078bm	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 11 \cdot 13^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$16016$	$192$	$1$	$22.36950055$	$1$		$0$	$132120576$	$4.386688$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$7.56836$	$[1, 0, 1, -45874001190, -3781799367326966]$	\(y^2+xy+y=x^3-45874001190x-3781799367326966\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 52.12.0-4.c.1.1, 88.48.0.?, $\ldots$	$[(-9181953407728/8617, 39570320142475254/8617)]$
126126.l1	126126bz6	126126.l	126126bz	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{10} \cdot 7^{14} \cdot 11 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$3696$	$192$	$1$	$49.07591100$	$1$		$0$	$301989888$	$4.626480$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$7.50432$	$[1, -1, 0, -119706713163, -15941348561057081]$	\(y^2+xy=x^3-x^2-119706713163x-15941348561057081\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 48.48.0-8.bb.2.8, 84.12.0.?, $\ldots$	$[(702289549318041324700071/132866815, 588468733919332734360572172975774599/132866815)]$
144144.ed1	144144bp6	144144.ed	144144bp	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{13} \cdot 3^{10} \cdot 7^{8} \cdot 11 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$3696$	$192$	$1$	$1$	$4$	$2$	$1$	$150994944$	$4.346672$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$7.13729$	$[0, 0, 0, -39087906339, -2974484615787358]$	\(y^2=x^3-39087906339x-2974484615787358\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.2, 24.48.0-8.bb.2.5, $\ldots$	$[ ]$
150150.bm1	150150fq6	150150.bm	150150fq	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{4} \cdot 5^{6} \cdot 7^{8} \cdot 11 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$6160$	$192$	$1$	$15.34784103$	$1$		$0$	$100663296$	$3.908936$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$6.67216$	$[1, 1, 0, -6786094850, -215170985510250]$	\(y^2+xy=x^3+x^2-6786094850x-215170985510250\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 20.12.0-4.c.1.1, 40.48.0-8.bb.2.3, $\ldots$	$[(3439921/5, 4761445666/5)]$
192192.cv1	192192ib6	192192.cv	192192ib	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{19} \cdot 3^{4} \cdot 7^{8} \cdot 11 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.225	2B	$1232$	$192$	$1$	$122.0599734$	$1$		$1$	$150994944$	$4.143936$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$6.76856$	$[0, -1, 0, -17372402817, -881322984247167]$	\(y^2=x^3-x^2-17372402817x-881322984247167\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.2, 44.12.0-4.c.1.2, 88.96.0.?, $\ldots$	$[(161586934847116368446588081516987323748271607760410547/752225039552623956323207, 56219366456482831893756463220038891612256775237668171646447918522328728179369140/752225039552623956323207)]$
192192.hr1	192192bh5	192192.hr	192192bh	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{19} \cdot 3^{4} \cdot 7^{8} \cdot 11 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.210	2B	$1232$	$192$	$1$	$2.201169761$	$1$		$3$	$150994944$	$4.143936$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$6.76856$	$[0, 1, 0, -17372402817, 881322984247167]$	\(y^2=x^3+x^2-17372402817x+881322984247167\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.1, 44.12.0-4.c.1.1, 88.96.0.?, $\ldots$	$[(75519, 275808)]$
198198.el1	198198bd6	198198.el	198198bd	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2 \cdot 3^{10} \cdot 7^{8} \cdot 11^{7} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$3696$	$192$	$1$	$34.10389218$	$1$		$0$	$754974720$	$4.852470$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$7.44858$	$[1, -1, 1, -295602291689, -61859910843379789]$	\(y^2+xy+y=x^3-x^2-295602291689x-61859910843379789\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 24.48.0-8.bb.2.7, 88.48.0.?, $\ldots$	$[(69609491850247861923/3884294, 576401792378943486970607124011/3884294)]$
234234.ed1	234234ed5	234234.ed	234234ed	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2 \cdot 3^{10} \cdot 7^{8} \cdot 11 \cdot 13^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$48048$	$192$	$1$	$10.69582896$	$1$		$0$	$1056964608$	$4.935997$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$7.42900$	$[1, -1, 1, -412866010706, 102108582917828075]$	\(y^2+xy+y=x^3-x^2-412866010706x+102108582917828075\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 88.48.0.?, 112.48.0.?, $\ldots$	$[(-25607661/10, 437211072817/10)]$
336336.hw1	336336hw6	336336.hw	336336hw	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{13} \cdot 3^{4} \cdot 7^{14} \cdot 11 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.125	2B	$1232$	$192$	$1$	$1$	$16$	$2$	$1$	$905969664$	$4.770317$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$7.06157$	$[0, 1, 0, -212811934512, -37787042167499052]$	\(y^2=x^3+x^2-212811934512x-37787042167499052\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0-8.bb.2.7, 28.12.0-4.c.1.2, $\ldots$	$[ ]$
450450.je1	450450je5	450450.je	450450je	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{10} \cdot 5^{6} \cdot 7^{8} \cdot 11 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$18480$	$192$	$1$	$1$	$1$		$0$	$805306368$	$4.458244$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$6.61543$	$[1, -1, 1, -61074853655, 5809555533923097]$	\(y^2+xy+y=x^3-x^2-61074853655x+5809555533923097\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 60.12.0-4.c.1.1, 88.48.0.?, $\ldots$	$[ ]$
462462.by1	462462by6	462462.by	462462by	$6$	$8$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \)	\( 2 \cdot 3^{4} \cdot 7^{14} \cdot 11^{7} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.129	2B	$1232$	$192$	$1$	$1$	$36$	$2, 3$	$0$	$4529848320$	$5.276123$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$7.35448$	$[1, 1, 0, -1609390254749, -785851587882079473]$	\(y^2+xy=x^3+x^2-1609390254749x-785851587882079473\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0-8.bb.2.3, 56.48.0-8.bb.2.2, $\ldots$	$[ ]$

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