Elliptic curve search results

Results (18 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
17340.h1	17340f1	17340.h	17340f	$2$	$3$	\( 2^{2} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$102$	$16$	$0$	$0.221208805$	$1$		$8$	$7776$	$0.533927$	$-127157223424/16875$	$1.00596$	$3.48414$	$[0, -1, 0, -1745, 28650]$	\(y^2=x^3-x^2-1745x+28650\)	3.4.0.a.1, 6.8.0.b.1, 51.8.0-3.a.1.2, 102.16.0.?	$[(25, 5)]$
17340.k1	17340o1	17340.k	17340o	$2$	$3$	\( 2^{2} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 17^{8} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$6$	$16$	$0$	$1$	$1$		$2$	$132192$	$1.950535$	$-127157223424/16875$	$1.00596$	$5.22574$	$[0, 1, 0, -504401, 137731224]$	\(y^2=x^3+x^2-504401x+137731224\)	3.8.0-3.a.1.2, 6.16.0-6.b.1.2	$[ ]$
52020.n1	52020q1	52020.n	52020q	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$102$	$16$	$0$	$3.806519595$	$1$		$0$	$62208$	$1.083233$	$-127157223424/16875$	$1.00596$	$3.73867$	$[0, 0, 0, -15708, -757843]$	\(y^2=x^3-15708x-757843\)	3.4.0.a.1, 6.8.0.b.1, 51.8.0-3.a.1.1, 102.16.0.?	$[(1249/2, 39825/2)]$
52020.z1	52020bj1	52020.z	52020bj	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$6$	$16$	$0$	$16.30674427$	$1$		$0$	$1057536$	$2.499840$	$-127157223424/16875$	$1.00596$	$5.30407$	$[0, 0, 0, -4539612, -3723282659]$	\(y^2=x^3-4539612x-3723282659\)	3.8.0-3.a.1.1, 6.16.0-6.b.1.1	$[(119955107/31, 1313603874990/31)]$
69360.t1	69360ck1	69360.t	69360ck	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$12$	$16$	$0$	$9.859285938$	$1$		$0$	$528768$	$1.950535$	$-127157223424/16875$	$1.00596$	$4.57584$	$[0, -1, 0, -504401, -137731224]$	\(y^2=x^3-x^2-504401x-137731224\)	3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.1	$[(3788436/31, 7243741650/31)]$
69360.dh1	69360dq1	69360.dh	69360dq	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$204$	$16$	$0$	$1$	$1$		$0$	$31104$	$0.533927$	$-127157223424/16875$	$1.00596$	$3.05084$	$[0, 1, 0, -1745, -28650]$	\(y^2=x^3+x^2-1745x-28650\)	3.4.0.a.1, 6.8.0.b.1, 204.16.0.?	$[ ]$
86700.s1	86700n1	86700.s	86700n	$2$	$3$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$30$	$16$	$0$	$12.00378250$	$1$		$0$	$3172608$	$2.755253$	$-127157223424/16875$	$1.00596$	$5.33533$	$[0, -1, 0, -12610033, 17241623062]$	\(y^2=x^3-x^2-12610033x+17241623062\)	3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.2, 30.16.0-6.b.1.2	$[(1433478/23, 662136050/23)]$
86700.bk1	86700bh1	86700.bk	86700bh	$2$	$3$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$510$	$16$	$0$	$1.440729717$	$1$		$2$	$186624$	$1.338646$	$-127157223424/16875$	$1.00596$	$3.84026$	$[0, 1, 0, -43633, 3493988]$	\(y^2=x^3+x^2-43633x+3493988\)	3.4.0.a.1, 6.8.0.b.1, 255.8.0.?, 510.16.0.?	$[(128, 150)]$
208080.bn1	208080cc1	208080.bn	208080cc	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$204$	$16$	$0$	$1.548251525$	$1$		$2$	$248832$	$1.083233$	$-127157223424/16875$	$1.00596$	$3.31542$	$[0, 0, 0, -15708, 757843]$	\(y^2=x^3-15708x+757843\)	3.4.0.a.1, 6.8.0.b.1, 204.16.0.?	$[(69, 50)]$
208080.fx1	208080y1	208080.fx	208080y	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$12$	$16$	$0$	$2.389341458$	$1$		$2$	$4230144$	$2.499840$	$-127157223424/16875$	$1.00596$	$4.70361$	$[0, 0, 0, -4539612, 3723282659]$	\(y^2=x^3-4539612x+3723282659\)	3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.2	$[(1273, 2700)]$
260100.bl1	260100bl1	260100.bl	260100bl	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$510$	$16$	$0$	$4.362512541$	$1$		$2$	$1492992$	$1.887953$	$-127157223424/16875$	$1.00596$	$4.03055$	$[0, 0, 0, -392700, -94730375]$	\(y^2=x^3-392700x-94730375\)	3.4.0.a.1, 6.8.0.b.1, 255.8.0.?, 510.16.0.?	$[(815, 11250)]$
260100.ct1	260100ct1	260100.ct	260100ct	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{10} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$30$	$16$	$0$	$1$	$1$		$0$	$25380864$	$3.304558$	$-127157223424/16875$	$1.00596$	$5.39390$	$[0, 0, 0, -113490300, -465410332375]$	\(y^2=x^3-113490300x-465410332375\)	3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.1, 30.16.0-6.b.1.1	$[ ]$
277440.v1	277440v1	277440.v	277440v	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$408$	$16$	$0$	$1$	$1$		$0$	$248832$	$0.880501$	$-127157223424/16875$	$1.00596$	$3.04522$	$[0, -1, 0, -6981, -222219]$	\(y^2=x^3-x^2-6981x-222219\)	3.4.0.a.1, 6.8.0.b.1, 408.16.0.?	$[ ]$
277440.di1	277440di1	277440.di	277440di	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$24$	$16$	$0$	$0.767416184$	$1$		$2$	$4230144$	$2.297108$	$-127157223424/16875$	$1.00596$	$4.40154$	$[0, -1, 0, -2017605, 1103867397]$	\(y^2=x^3-x^2-2017605x+1103867397\)	3.4.0.a.1, 6.8.0.b.1, 24.16.0-6.b.1.3	$[(1349, 28900)]$
277440.gk1	277440gk1	277440.gk	277440gk	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$408$	$16$	$0$	$1.079806212$	$1$		$10$	$248832$	$0.880501$	$-127157223424/16875$	$1.00596$	$3.04522$	$[0, 1, 0, -6981, 222219]$	\(y^2=x^3+x^2-6981x+222219\)	3.4.0.a.1, 6.8.0.b.1, 408.16.0.?	$[(54, 75), (-21, 600)]$
277440.is1	277440is1	277440.is	277440is	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$24$	$16$	$0$	$2.156004829$	$1$		$2$	$4230144$	$2.297108$	$-127157223424/16875$	$1.00596$	$4.40154$	$[0, 1, 0, -2017605, -1103867397]$	\(y^2=x^3+x^2-2017605x-1103867397\)	3.4.0.a.1, 6.8.0.b.1, 24.16.0-6.b.1.2	$[(4431, 277440)]$
346800.dv1	346800dv1	346800.dv	346800dv	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1020$	$16$	$0$	$1$	$1$		$0$	$746496$	$1.338646$	$-127157223424/16875$	$1.00596$	$3.42293$	$[0, -1, 0, -43633, -3493988]$	\(y^2=x^3-x^2-43633x-3493988\)	3.4.0.a.1, 6.8.0.b.1, 1020.16.0.?	$[ ]$
346800.hx1	346800hx1	346800.hx	346800hx	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$60$	$16$	$0$	$1$	$1$		$0$	$12690432$	$2.755253$	$-127157223424/16875$	$1.00596$	$4.75552$	$[0, 1, 0, -12610033, -17241623062]$	\(y^2=x^3+x^2-12610033x-17241623062\)	3.4.0.a.1, 6.8.0.b.1, 60.16.0-6.b.1.2	$[ ]$

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