Elliptic curve search results

Results (22 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	Manin constant
8664.c1	8664a2	8664.c	8664a	$2$	$2$	\( 2^{3} \cdot 3 \cdot 19^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$0.644170958$	$1$		$7$	$3200$	$0.327095$	$1203052/9$	$1.19561$	$3.28283$	$[0, -1, 0, -424, 3484]$	\(y^2=x^3-x^2-424x+3484\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(-6, 76)]$	$1$
8664.i1	8664l2	8664.i	8664l	$2$	$2$	\( 2^{3} \cdot 3 \cdot 19^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$8.298811729$	$1$		$1$	$60800$	$1.799314$	$1203052/9$	$1.19561$	$5.23129$	$[0, 1, 0, -153184, -22977904]$	\(y^2=x^3+x^2-153184x-22977904\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(-17120/9, 29204/9)]$	$1$
17328.e1	17328c2	17328.e	17328c	$2$	$2$	\( 2^{4} \cdot 3 \cdot 19^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$4.359760088$	$1$		$3$	$121600$	$1.799314$	$1203052/9$	$1.19561$	$4.85978$	$[0, -1, 0, -153184, 22977904]$	\(y^2=x^3-x^2-153184x+22977904\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(94, 3066)]$	$1$
17328.v1	17328i2	17328.v	17328i	$2$	$2$	\( 2^{4} \cdot 3 \cdot 19^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$6400$	$0.327095$	$1203052/9$	$1.19561$	$3.04968$	$[0, 1, 0, -424, -3484]$	\(y^2=x^3+x^2-424x-3484\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[ ]$	$1$
25992.u1	25992e2	25992.u	25992e	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 19^{2} \)	\( 2^{10} \cdot 3^{8} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$486400$	$2.348621$	$1203052/9$	$1.19561$	$5.31437$	$[0, 0, 0, -1378659, 619024750]$	\(y^2=x^3-1378659x+619024750\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[ ]$	$1$
25992.v1	25992v2	25992.v	25992v	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 19^{2} \)	\( 2^{10} \cdot 3^{8} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$2.075801889$	$1$		$5$	$25600$	$0.876401$	$1203052/9$	$1.19561$	$3.57648$	$[0, 0, 0, -3819, -90250]$	\(y^2=x^3-3819x-90250\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(-37, 20)]$	$1$
51984.ck1	51984k2	51984.ck	51984k	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 19^{2} \)	\( 2^{10} \cdot 3^{8} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$9$	$3$	$1$	$972800$	$2.348621$	$1203052/9$	$1.19561$	$4.97514$	$[0, 0, 0, -1378659, -619024750]$	\(y^2=x^3-1378659x-619024750\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[ ]$	$1$
51984.cl1	51984j2	51984.cl	51984j	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 19^{2} \)	\( 2^{10} \cdot 3^{8} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$51200$	$0.876401$	$1203052/9$	$1.19561$	$3.34818$	$[0, 0, 0, -3819, 90250]$	\(y^2=x^3-3819x+90250\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[ ]$	$1$
69312.bn1	69312d2	69312.bn	69312d	$2$	$2$	\( 2^{6} \cdot 3 \cdot 19^{2} \)	\( 2^{16} \cdot 3^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$12.81570777$	$1$		$1$	$972800$	$2.145889$	$1203052/9$	$1.19561$	$4.62847$	$[0, -1, 0, -612737, -183210495]$	\(y^2=x^3-x^2-612737x-183210495\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(-1152485/51, 139098860/51)]$	$1$
69312.bq1	69312ce2	69312.bq	69312ce	$2$	$2$	\( 2^{6} \cdot 3 \cdot 19^{2} \)	\( 2^{16} \cdot 3^{2} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$51200$	$0.673668$	$1203052/9$	$1.19561$	$3.04351$	$[0, -1, 0, -1697, -26175]$	\(y^2=x^3-x^2-1697x-26175\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[ ]$	$1$
69312.dm1	69312bf2	69312.dm	69312bf	$2$	$2$	\( 2^{6} \cdot 3 \cdot 19^{2} \)	\( 2^{16} \cdot 3^{2} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$51200$	$0.673668$	$1203052/9$	$1.19561$	$3.04351$	$[0, 1, 0, -1697, 26175]$	\(y^2=x^3+x^2-1697x+26175\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[ ]$	$1$
69312.dp1	69312da2	69312.dp	69312da	$2$	$2$	\( 2^{6} \cdot 3 \cdot 19^{2} \)	\( 2^{16} \cdot 3^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$8.786673966$	$1$		$3$	$972800$	$2.145889$	$1203052/9$	$1.19561$	$4.62847$	$[0, 1, 0, -612737, 183210495]$	\(y^2=x^3+x^2-612737x+183210495\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(64135, 16241040)]$	$1$
207936.bc1	207936eu2	207936.bc	207936eu	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 19^{2} \)	\( 2^{16} \cdot 3^{8} \cdot 19^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$6.281142971$	$1$		$11$	$409600$	$1.222975$	$1203052/9$	$1.19561$	$3.30876$	$[0, 0, 0, -15276, -722000]$	\(y^2=x^3-15276x-722000\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(-67, 27), (-72, 68)]$	$1$
207936.bd1	207936ev2	207936.bd	207936ev	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 19^{2} \)	\( 2^{16} \cdot 3^{8} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$7782400$	$2.695194$	$1203052/9$	$1.19561$	$4.75152$	$[0, 0, 0, -5514636, 4952198000]$	\(y^2=x^3-5514636x+4952198000\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[ ]$	$1$
207936.cf1	207936r2	207936.cf	207936r	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 19^{2} \)	\( 2^{16} \cdot 3^{8} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.171845134$	$1$		$7$	$409600$	$1.222975$	$1203052/9$	$1.19561$	$3.30876$	$[0, 0, 0, -15276, 722000]$	\(y^2=x^3-15276x+722000\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(82, 144)]$	$1$
207936.cg1	207936s2	207936.cg	207936s	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 19^{2} \)	\( 2^{16} \cdot 3^{8} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$10.20413877$	$1$		$1$	$7782400$	$2.695194$	$1203052/9$	$1.19561$	$4.75152$	$[0, 0, 0, -5514636, -4952198000]$	\(y^2=x^3-5514636x-4952198000\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(214400/7, 80212140/7)]$	$1$
216600.cd1	216600el2	216600.cd	216600el	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$9.795920422$	$1$		$1$	$7782400$	$2.604034$	$1203052/9$	$1.19561$	$4.64670$	$[0, -1, 0, -3829608, -2864578788]$	\(y^2=x^3-x^2-3829608x-2864578788\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(-387238/19, 19332100/19)]$	$1$
216600.ei1	216600bb2	216600.ei	216600bb	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.786746843$	$1$		$3$	$409600$	$1.131813$	$1203052/9$	$1.19561$	$3.20873$	$[0, 1, 0, -10608, 414288]$	\(y^2=x^3+x^2-10608x+414288\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(-72, 900)]$	$1$
424536.bu1	424536bu2	424536.bu	424536bu	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 7^{6} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$14.06259922$	$1$		$1$	$17510400$	$2.772270$	$1203052/9$	$1.19561$	$4.56118$	$[0, -1, 0, -7506032, 7866409020]$	\(y^2=x^3-x^2-7506032x+7866409020\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(14738401/93, 3691175390/93)]$	$1$
424536.dz1	424536dz2	424536.dz	424536dz	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 7^{6} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$8.675674893$	$1$		$1$	$921600$	$1.300049$	$1203052/9$	$1.19561$	$3.19789$	$[0, 1, 0, -20792, -1153440]$	\(y^2=x^3+x^2-20792x-1153440\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(38005/6, 7339465/6)]$	$1$
433200.i1	433200i2	433200.i	433200i	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.314435848$	$1$		$7$	$819200$	$1.131813$	$1203052/9$	$1.19561$	$3.03736$	$[0, -1, 0, -10608, -414288]$	\(y^2=x^3-x^2-10608x-414288\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(-58, 50)]$	$1$
433200.fv1	433200fv2	433200.fv	433200fv	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$15564800$	$2.604034$	$1203052/9$	$1.19561$	$4.39854$	$[0, 1, 0, -3829608, 2864578788]$	\(y^2=x^3+x^2-3829608x+2864578788\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[ ]$	$1$

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