Elliptic curve search results

Results (26 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
3192.m1	3192i4	3192.m	3192i	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{8} \cdot 7 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1064$	$48$	$0$	$0.591271946$	$1$		$7$	$2048$	$0.688757$	$2538016415428/872613$	$0.92661$	$4.39912$	$[0, 1, 0, -2864, 58032]$	\(y^2=x^3+x^2-2864x+58032\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.ba.1.10, $\ldots$	$[(4, 216)]$
6384.f1	6384c3	6384.f	6384c	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{8} \cdot 7 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1064$	$48$	$0$	$1$	$1$		$1$	$4096$	$0.688757$	$2538016415428/872613$	$0.92661$	$4.05110$	$[0, -1, 0, -2864, -58032]$	\(y^2=x^3-x^2-2864x-58032\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.2, 56.24.0-56.ba.1.2, $\ldots$	$[]$
9576.x1	9576z3	9576.x	9576z	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{14} \cdot 7 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3192$	$48$	$0$	$1$	$4$	$2$	$1$	$16384$	$1.238064$	$2538016415428/872613$	$0.92661$	$4.59098$	$[0, 0, 0, -25779, -1592642]$	\(y^2=x^3-25779x-1592642\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.ba.1, 84.12.0.?, $\ldots$	$[]$
19152.bk1	19152r4	19152.bk	19152r	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{14} \cdot 7 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3192$	$48$	$0$	$1.537265440$	$1$		$7$	$32768$	$1.238064$	$2538016415428/872613$	$0.92661$	$4.26824$	$[0, 0, 0, -25779, 1592642]$	\(y^2=x^3-25779x+1592642\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.ba.1, 84.12.0.?, $\ldots$	$[(91, 18)]$
22344.m1	22344i4	22344.m	22344i	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( 2^{10} \cdot 3^{8} \cdot 7^{7} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1064$	$48$	$0$	$9.323319102$	$1$		$1$	$98304$	$1.661713$	$2538016415428/872613$	$0.92661$	$4.71019$	$[0, -1, 0, -140352, -20185668]$	\(y^2=x^3-x^2-140352x-20185668\)	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.ba.1.12, 152.24.0.?, 266.6.0.?, $\ldots$	$[(76429/3, 21107240/3)]$
25536.bp1	25536u4	25536.bp	25536u	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{16} \cdot 3^{8} \cdot 7 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1064$	$48$	$0$	$5.392105922$	$1$		$1$	$32768$	$1.035332$	$2538016415428/872613$	$0.92661$	$3.90751$	$[0, -1, 0, -11457, 475713]$	\(y^2=x^3-x^2-11457x+475713\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 56.24.0-56.ba.1.1, 152.24.0.?, $\ldots$	$[(592/3, 1315/3)]$
25536.db1	25536ct4	25536.db	25536ct	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{16} \cdot 3^{8} \cdot 7 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1064$	$48$	$0$	$3.764300608$	$1$		$3$	$32768$	$1.035332$	$2538016415428/872613$	$0.92661$	$3.90751$	$[0, 1, 0, -11457, -475713]$	\(y^2=x^3+x^2-11457x-475713\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 56.24.0-56.ba.1.9, 152.24.0.?, $\ldots$	$[(162, 1395)]$
44688.dn1	44688bb4	44688.dn	44688bb	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( 2^{10} \cdot 3^{8} \cdot 7^{7} \cdot 19 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1064$	$48$	$0$	$1.884822482$	$1$		$9$	$196608$	$1.661713$	$2538016415428/872613$	$0.92661$	$4.40528$	$[0, 1, 0, -140352, 20185668]$	\(y^2=x^3+x^2-140352x+20185668\)	2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.ba.1.4, 152.24.0.?, 266.6.0.?, $\ldots$	$[(192, 594)]$
60648.e1	60648ba4	60648.e	60648ba	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( 2^{10} \cdot 3^{8} \cdot 7 \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1064$	$48$	$0$	$1$	$4$	$2$	$1$	$737280$	$2.160976$	$2538016415428/872613$	$0.92661$	$4.82714$	$[0, -1, 0, -1034024, -404245380]$	\(y^2=x^3-x^2-1034024x-404245380\)	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.ba.1.5, 152.24.0.?, 266.6.0.?, $\ldots$	$[]$
67032.w1	67032cs4	67032.w	67032cs	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( 2^{10} \cdot 3^{14} \cdot 7^{7} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3192$	$48$	$0$	$4.291014256$	$1$		$3$	$786432$	$2.211018$	$2538016415428/872613$	$0.92661$	$4.83770$	$[0, 0, 0, -1263171, 546276206]$	\(y^2=x^3-1263171x+546276206\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.ba.1, 152.12.0.?, $\ldots$	$[(854, 9506)]$
76608.be1	76608dz4	76608.be	76608dz	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( 2^{16} \cdot 3^{14} \cdot 7 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3192$	$48$	$0$	$4.038136600$	$1$		$5$	$262144$	$1.584637$	$2538016415428/872613$	$0.92661$	$4.11191$	$[0, 0, 0, -103116, 12741136]$	\(y^2=x^3-103116x+12741136\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 56.12.0.ba.1, 152.12.0.?, $\ldots$	$[(189, 59)]$
76608.bh1	76608cp4	76608.bh	76608cp	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( 2^{16} \cdot 3^{14} \cdot 7 \cdot 19 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3192$	$48$	$0$	$17.93105807$	$1$		$7$	$262144$	$1.584637$	$2538016415428/872613$	$0.92661$	$4.11191$	$[0, 0, 0, -103116, -12741136]$	\(y^2=x^3-103116x-12741136\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 56.12.0.ba.1, 152.12.0.?, $\ldots$	$[(-184, 52), (-1676/3, 1576/3)]$
79800.b1	79800z4	79800.b	79800z	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 7 \cdot 19 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5320$	$48$	$0$	$6.275852174$	$1$		$11$	$262144$	$1.493477$	$2538016415428/872613$	$0.92661$	$4.00012$	$[0, -1, 0, -71608, 7397212]$	\(y^2=x^3-x^2-71608x+7397212\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.ba.1, 140.12.0.?, $\ldots$	$[(182, 600), (886, 25272)]$
121296.ce1	121296bb4	121296.ce	121296bb	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( 2^{10} \cdot 3^{8} \cdot 7 \cdot 19^{7} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1064$	$48$	$0$	$2.524970298$	$1$		$9$	$1474560$	$2.160976$	$2538016415428/872613$	$0.92661$	$4.54131$	$[0, 1, 0, -1034024, 404245380]$	\(y^2=x^3+x^2-1034024x+404245380\)	2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.ba.1.13, 152.24.0.?, 266.6.0.?, $\ldots$	$[(568, 702)]$
134064.ba1	134064dt4	134064.ba	134064dt	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( 2^{10} \cdot 3^{14} \cdot 7^{7} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3192$	$48$	$0$	$1.767844440$	$1$		$5$	$1572864$	$2.211018$	$2538016415428/872613$	$0.92661$	$4.55367$	$[0, 0, 0, -1263171, -546276206]$	\(y^2=x^3-1263171x-546276206\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.ba.1, 152.12.0.?, $\ldots$	$[(-651, 392)]$
159600.gt1	159600fq4	159600.gt	159600fq	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 7 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5320$	$48$	$0$	$1$	$1$		$1$	$524288$	$1.493477$	$2538016415428/872613$	$0.92661$	$3.76869$	$[0, 1, 0, -71608, -7397212]$	\(y^2=x^3+x^2-71608x-7397212\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.ba.1, 140.12.0.?, $\ldots$	$[]$
178752.t1	178752dg3	178752.t	178752dg	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( 2^{16} \cdot 3^{8} \cdot 7^{7} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1064$	$48$	$0$	$1$	$1$		$1$	$1572864$	$2.008286$	$2538016415428/872613$	$0.92661$	$4.24419$	$[0, -1, 0, -561409, 162046753]$	\(y^2=x^3-x^2-561409x+162046753\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 56.24.0-56.ba.1.11, 152.24.0.?, $\ldots$	$[]$
178752.gv1	178752gg4	178752.gv	178752gg	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( 2^{16} \cdot 3^{8} \cdot 7^{7} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1064$	$48$	$0$	$6.336079630$	$1$		$1$	$1572864$	$2.008286$	$2538016415428/872613$	$0.92661$	$4.24419$	$[0, 1, 0, -561409, -162046753]$	\(y^2=x^3+x^2-561409x-162046753\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.ba.1.3, 152.24.0.?, $\ldots$	$[(-3851/3, 3340/3)]$
181944.cc1	181944cc3	181944.cc	181944cc	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( 2^{10} \cdot 3^{14} \cdot 7 \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3192$	$48$	$0$	$1$	$4$	$2$	$1$	$5898240$	$2.710281$	$2538016415428/872613$	$0.92661$	$4.93353$	$[0, 0, 0, -9306219, 10923931478]$	\(y^2=x^3-9306219x+10923931478\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.ba.1, 152.12.0.?, $\ldots$	$[]$
239400.by1	239400by4	239400.by	239400by	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{14} \cdot 5^{6} \cdot 7 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$1$	$4$	$2$	$1$	$2097152$	$2.042782$	$2538016415428/872613$	$0.92661$	$4.17751$	$[0, 0, 0, -644475, -199080250]$	\(y^2=x^3-644475x-199080250\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0.ba.1, 120.12.0.?, 152.12.0.?, $\ldots$	$[]$
363888.dp1	363888dp4	363888.dp	363888dp	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( 2^{10} \cdot 3^{14} \cdot 7 \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3192$	$48$	$0$	$4.807364805$	$1$		$3$	$11796480$	$2.710281$	$2538016415428/872613$	$0.92661$	$4.66646$	$[0, 0, 0, -9306219, -10923931478]$	\(y^2=x^3-9306219x-10923931478\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.ba.1, 152.12.0.?, $\ldots$	$[(12806, 1403568)]$
386232.bq1	386232bq4	386232.bq	386232bq	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( 2^{10} \cdot 3^{8} \cdot 7 \cdot 11^{6} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$11704$	$48$	$0$	$1.903068253$	$1$		$5$	$2621440$	$1.887705$	$2538016415428/872613$	$0.92661$	$3.87753$	$[0, 1, 0, -346584, -78626880]$	\(y^2=x^3+x^2-346584x-78626880\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0.ba.1, 88.12.0.?, 152.12.0.?, $\ldots$	$[(-336, 72)]$
424536.dx1	424536dx3	424536.dx	424536dx	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( 2^{10} \cdot 3^{8} \cdot 7^{7} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.14	2B	$1064$	$48$	$0$	$2.615758709$	$1$		$3$	$35389440$	$3.133930$	$2538016415428/872613$	$0.92661$	$5.00326$	$[0, 1, 0, -50667192, 138757499712]$	\(y^2=x^3+x^2-50667192x+138757499712\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 28.12.0-4.c.1.1, 56.24.0-56.ba.1.7, $\ldots$	$[(6219, 253422)]$
478800.iy1	478800iy3	478800.iy	478800iy	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{14} \cdot 5^{6} \cdot 7 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$1$	$1$		$1$	$4194304$	$2.042782$	$2538016415428/872613$	$0.92661$	$3.95611$	$[0, 0, 0, -644475, 199080250]$	\(y^2=x^3-644475x+199080250\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0.ba.1, 120.12.0.?, 152.12.0.?, $\ldots$	$[]$
485184.di1	485184di3	485184.di	485184di	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( 2^{16} \cdot 3^{8} \cdot 7 \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1064$	$48$	$0$	$12.84824159$	$1$		$1$	$11796480$	$2.507549$	$2538016415428/872613$	$0.92661$	$4.37811$	$[0, -1, 0, -4136097, 3238099137]$	\(y^2=x^3-x^2-4136097x+3238099137\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 56.24.0-56.ba.1.6, 152.24.0.?, $\ldots$	$[(491704/15, 229678867/15)]$
485184.is1	485184is4	485184.is	485184is	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( 2^{16} \cdot 3^{8} \cdot 7 \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1064$	$48$	$0$	$1$	$4$	$2$	$1$	$11796480$	$2.507549$	$2538016415428/872613$	$0.92661$	$4.37811$	$[0, 1, 0, -4136097, -3238099137]$	\(y^2=x^3+x^2-4136097x-3238099137\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.ba.1.14, 152.24.0.?, $\ldots$	$[]$

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