Elliptic curve search results

Results (22 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
9240.r2	9240y3	9240.r	9240y	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.6	2Cs	$1848$	$192$	$1$	$2.085650003$	$1$		$7$	$49152$	$1.669514$	$228410605013945764/187597265625$	$0.96707$	$5.13633$	$[0, -1, 0, -128360, -17645508]$	\(y^2=x^3-x^2-128360x-17645508\)	2.6.0.a.1, 4.24.0-4.b.1.1, 24.48.0-24.m.1.3, 56.48.0-56.h.2.5, 88.48.0.?, $\ldots$	$[(689, 14850)]$
18480.cn2	18480z4	18480.cn	18480z	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.5	2Cs	$1848$	$192$	$1$	$1.381496038$	$1$		$21$	$98304$	$1.669514$	$228410605013945764/187597265625$	$0.96707$	$4.77395$	$[0, 1, 0, -128360, 17645508]$	\(y^2=x^3+x^2-128360x+17645508\)	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.m.1.6, 56.48.0-56.h.2.1, 88.48.0.?, $\ldots$	$[(216, 210)]$
27720.o2	27720h4	27720.o	27720h	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.24	2Cs	$1848$	$192$	$1$	$3.810962476$	$1$		$7$	$393216$	$2.218819$	$228410605013945764/187597265625$	$0.96707$	$5.22909$	$[0, 0, 0, -1155243, 477583958]$	\(y^2=x^3-1155243x+477583958\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 12.24.0-4.b.1.1, 24.48.0-24.m.1.5, $\ldots$	$[(-449, 30096)]$
46200.cl2	46200bh4	46200.cl	46200bh	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{14} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$9240$	$192$	$1$	$8.310209312$	$1$		$3$	$1179648$	$2.474232$	$228410605013945764/187597265625$	$0.96707$	$5.26575$	$[0, 1, 0, -3209008, -2212106512]$	\(y^2=x^3+x^2-3209008x-2212106512\)	2.6.0.a.1, 4.12.0.b.1, 20.24.0-4.b.1.1, 24.24.0.m.1, 56.24.0.h.2, $\ldots$	$[(-37763/6, 207757/6)]$
55440.bg2	55440m4	55440.bg	55440m	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.24	2Cs	$1848$	$192$	$1$	$4.212864611$	$1$		$7$	$786432$	$2.218819$	$228410605013945764/187597265625$	$0.96707$	$4.89726$	$[0, 0, 0, -1155243, -477583958]$	\(y^2=x^3-1155243x-477583958\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 12.24.0-4.b.1.3, 24.48.0-24.m.1.1, $\ldots$	$[(-618, 572)]$
64680.cr2	64680cu4	64680.cr	64680cu	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{8} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.9	2Cs	$1848$	$192$	$1$	$4.300475395$	$1$		$7$	$2359296$	$2.642467$	$228410605013945764/187597265625$	$0.96707$	$5.28805$	$[0, 1, 0, -6289656, 6064988544]$	\(y^2=x^3+x^2-6289656x+6064988544\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.m.1.7, 28.24.0-4.b.1.1, $\ldots$	$[(-2553, 74088)]$
73920.x2	73920ej4	73920.x	73920ej	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{16} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.21	2Cs	$1848$	$192$	$1$	$3.369267900$	$1$		$7$	$786432$	$2.016087$	$228410605013945764/187597265625$	$0.96707$	$4.55459$	$[0, -1, 0, -513441, 141677505]$	\(y^2=x^3-x^2-513441x+141677505\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.2, 24.48.0-24.m.1.11, 56.48.0-56.h.2.7, $\ldots$	$[(181, 7392)]$
73920.fn2	73920co4	73920.fn	73920co	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{16} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.20	2Cs	$1848$	$192$	$1$	$5.459582854$	$1$		$5$	$786432$	$2.016087$	$228410605013945764/187597265625$	$0.96707$	$4.55459$	$[0, 1, 0, -513441, -141677505]$	\(y^2=x^3+x^2-513441x-141677505\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 24.48.0-24.m.1.15, 56.48.0-56.h.2.3, $\ldots$	$[(3995, 248160)]$
92400.ch2	92400n4	92400.ch	92400n	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{14} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$9240$	$192$	$1$	$1$	$1$		$3$	$2359296$	$2.474232$	$228410605013945764/187597265625$	$0.96707$	$4.94653$	$[0, -1, 0, -3209008, 2212106512]$	\(y^2=x^3-x^2-3209008x+2212106512\)	2.6.0.a.1, 4.12.0.b.1, 20.24.0-4.b.1.3, 24.24.0.m.1, 56.24.0.h.2, $\ldots$	$[]$
101640.t2	101640j4	101640.t	101640j	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 11^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.11	2Cs	$1848$	$192$	$1$	$1.957206949$	$1$		$9$	$5898240$	$2.868462$	$228410605013945764/187597265625$	$0.96707$	$5.31596$	$[0, -1, 0, -15531600, 23548297500]$	\(y^2=x^3-x^2-15531600x+23548297500\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.m.1.4, 44.24.0-4.b.1.1, $\ldots$	$[(2105, 13310)]$
129360.s2	129360h4	129360.s	129360h	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.14	2Cs	$1848$	$192$	$1$	$1$	$1$		$3$	$4718592$	$2.642467$	$228410605013945764/187597265625$	$0.96707$	$4.97664$	$[0, -1, 0, -6289656, -6064988544]$	\(y^2=x^3-x^2-6289656x-6064988544\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.m.1.10, 28.24.0-4.b.1.3, $\ldots$	$[]$
138600.x2	138600ca3	138600.x	138600ca	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{14} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$9240$	$192$	$1$	$6.452978637$	$1$		$5$	$9437184$	$3.023540$	$228410605013945764/187597265625$	$0.96707$	$5.33388$	$[0, 0, 0, -28881075, 59697994750]$	\(y^2=x^3-28881075x+59697994750\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 40.24.0-4.b.1.5, 56.24.0.h.2, $\ldots$	$[(16859, 2089152)]$
194040.dr2	194040cw4	194040.dr	194040cw	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.14	2Cs	$1848$	$192$	$1$	$1$	$1$		$3$	$18874368$	$3.191776$	$228410605013945764/187597265625$	$0.96707$	$5.35229$	$[0, 0, 0, -56606907, -163811297594]$	\(y^2=x^3-56606907x-163811297594\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.m.1.10, 56.48.0-56.h.2.10, $\ldots$	$[]$
203280.hc2	203280et4	203280.hc	203280et	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 11^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.17	2Cs	$1848$	$192$	$1$	$2.469396368$	$1$		$9$	$11796480$	$2.868462$	$228410605013945764/187597265625$	$0.96707$	$5.01449$	$[0, 1, 0, -15531600, -23548297500]$	\(y^2=x^3+x^2-15531600x-23548297500\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.m.1.2, 44.24.0-4.b.1.3, $\ldots$	$[(-2310, 2940)]$
221760.hh2	221760cq4	221760.hh	221760cq	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{16} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.26	2Cs	$1848$	$192$	$1$	$1$	$1$		$3$	$6291456$	$2.565392$	$228410605013945764/187597265625$	$0.96707$	$4.68359$	$[0, 0, 0, -4620972, -3820671664]$	\(y^2=x^3-4620972x-3820671664\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 24.48.0-24.m.1.16, 56.48.0-56.h.2.15, $\ldots$	$[]$
221760.nf2	221760hv3	221760.nf	221760hv	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{16} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.26	2Cs	$1848$	$192$	$1$	$1.192957359$	$1$		$13$	$6291456$	$2.565392$	$228410605013945764/187597265625$	$0.96707$	$4.68359$	$[0, 0, 0, -4620972, 3820671664]$	\(y^2=x^3-4620972x+3820671664\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 24.48.0-24.m.1.13, 56.48.0-56.h.2.11, $\ldots$	$[(-82, 64800)]$
277200.na2	277200na4	277200.na	277200na	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{14} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$9240$	$192$	$1$	$1$	$4$	$2$	$3$	$18874368$	$3.023540$	$228410605013945764/187597265625$	$0.96707$	$5.03888$	$[0, 0, 0, -28881075, -59697994750]$	\(y^2=x^3-28881075x-59697994750\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 40.24.0-4.b.1.5, 56.24.0.h.2, $\ldots$	$[]$
304920.u2	304920u4	304920.u	304920u	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 11^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.11	2Cs	$1848$	$192$	$1$	$1$	$4$	$2$	$3$	$47185920$	$3.417767$	$228410605013945764/187597265625$	$0.96707$	$5.37547$	$[0, 0, 0, -139784403, -635664248098]$	\(y^2=x^3-139784403x-635664248098\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.m.1.4, 56.48.0-56.h.2.21, $\ldots$	$[]$
323400.dc2	323400dc3	323400.dc	323400dc	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{14} \cdot 7^{8} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$9240$	$192$	$1$	$8.799434645$	$1$		$3$	$56623104$	$3.447189$	$228410605013945764/187597265625$	$0.96707$	$5.37837$	$[0, -1, 0, -157241408, 758438050812]$	\(y^2=x^3-x^2-157241408x+758438050812\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 40.24.0-4.b.1.3, 56.24.0.h.2, $\ldots$	$[(185069/5, 794772/5)]$
369600.bg2	369600bg4	369600.bg	369600bg	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{16} \cdot 3^{4} \cdot 5^{14} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$9240$	$192$	$1$	$5.520739222$	$1$		$7$	$18874368$	$2.820805$	$228410605013945764/187597265625$	$0.96707$	$4.73604$	$[0, -1, 0, -12836033, -17684016063]$	\(y^2=x^3-x^2-12836033x-17684016063\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 40.24.0-4.b.1.11, 56.24.0.h.2, $\ldots$	$[(-2104, 2133)]$
369600.vq2	369600vq3	369600.vq	369600vq	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{16} \cdot 3^{4} \cdot 5^{14} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$9240$	$192$	$1$	$3.887624423$	$1$		$7$	$18874368$	$2.820805$	$228410605013945764/187597265625$	$0.96707$	$4.73604$	$[0, 1, 0, -12836033, 17684016063]$	\(y^2=x^3+x^2-12836033x+17684016063\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 40.24.0-4.b.1.1, 56.24.0.h.2, $\ldots$	$[(1623, 33600)]$
388080.nz2	388080nz3	388080.nz	388080nz	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 7^{8} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.9	2Cs	$1848$	$192$	$1$	$1.270116904$	$1$		$13$	$37748736$	$3.191776$	$228410605013945764/187597265625$	$0.96707$	$5.06401$	$[0, 0, 0, -56606907, 163811297594]$	\(y^2=x^3-56606907x+163811297594\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.m.1.7, 56.48.0-56.h.2.14, $\ldots$	$[(3563, 85750)]$