Elliptic curve search results

Results (25 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
1430.b1	1430b1	1430.b	1430b	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{19} \cdot 5^{7} \cdot 11 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$440$	$2$	$0$	$1$	$1$		$0$	$51072$	$2.633495$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$7.57028$	$[1, 1, 0, -1069822, -1016405644]$	\(y^2+xy=x^3+x^2-1069822x-1016405644\)	440.2.0.?	$[ ]$
7150.s1	7150q1	7150.s	7150q	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{19} \cdot 5^{13} \cdot 11 \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$0.728018387$	$1$		$4$	$1225728$	$3.438213$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$7.28551$	$[1, 0, 0, -26745563, -126997214383]$	\(y^2+xy=x^3-26745563x-126997214383\)	440.2.0.?	$[(23582, 3503409)]$
11440.s1	11440q1	11440.s	11440q	$1$	$1$	\( 2^{4} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{31} \cdot 5^{7} \cdot 11 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$1225728$	$3.326641$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$6.77581$	$[0, 1, 0, -17117160, 65015726900]$	\(y^2=x^3+x^2-17117160x+65015726900\)	440.2.0.?	$[ ]$
12870.bm1	12870bp1	12870.bm	12870bp	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{19} \cdot 3^{6} \cdot 5^{7} \cdot 11 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$1532160$	$3.182800$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$6.50906$	$[1, -1, 1, -9628403, 27433323987]$	\(y^2+xy+y=x^3-x^2-9628403x+27433323987\)	440.2.0.?	$[ ]$
15730.x1	15730ba1	15730.x	15730ba	$1$	$1$	\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{19} \cdot 5^{7} \cdot 11^{7} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$0.064937384$	$1$		$14$	$6128640$	$3.832443$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$7.18063$	$[1, 1, 1, -129448525, 1352188669635]$	\(y^2+xy+y=x^3+x^2-129448525x+1352188669635\)	440.2.0.?	$[(12183, 1252308)]$
18590.k1	18590l1	18590.k	18590l	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{19} \cdot 5^{7} \cdot 11 \cdot 13^{14} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$7.435174289$	$1$		$2$	$8580096$	$3.915970$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$7.16056$	$[1, 1, 1, -180800006, -2232139199997]$	\(y^2+xy+y=x^3+x^2-180800006x-2232139199997\)	440.2.0.?	$[(273889, 143020927)]$
45760.o1	45760bf1	45760.o	45760bf	$1$	$1$	\( 2^{6} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{37} \cdot 5^{7} \cdot 11 \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$4.127957337$	$1$		$2$	$9805824$	$3.673218$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$6.28804$	$[0, -1, 0, -68468641, 520194283841]$	\(y^2=x^3-x^2-68468641x+520194283841\)	440.2.0.?	$[(10603, 993044)]$
45760.bg1	45760k1	45760.bg	45760k	$1$	$1$	\( 2^{6} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{37} \cdot 5^{7} \cdot 11 \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$16.86933518$	$1$		$0$	$9805824$	$3.673218$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$6.28804$	$[0, 1, 0, -68468641, -520194283841]$	\(y^2=x^3+x^2-68468641x-520194283841\)	440.2.0.?	$[(1676650618/393, 7665618111281/393)]$
57200.t1	57200bv1	57200.t	57200bv	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{31} \cdot 5^{13} \cdot 11 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$29417472$	$4.131363$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$6.66183$	$[0, -1, 0, -427929008, 8127821720512]$	\(y^2=x^3-x^2-427929008x+8127821720512\)	440.2.0.?	$[ ]$
64350.z1	64350bs1	64350.z	64350bs	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{19} \cdot 3^{6} \cdot 5^{13} \cdot 11 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$36771840$	$3.987522$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$6.43507$	$[1, -1, 0, -240710067, 3428924788341]$	\(y^2+xy=x^3-x^2-240710067x+3428924788341\)	440.2.0.?	$[ ]$
70070.t1	70070e1	70070.t	70070e	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{19} \cdot 5^{7} \cdot 7^{6} \cdot 11 \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$10.45203147$	$1$		$2$	$19305216$	$3.606449$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$5.97610$	$[1, 0, 1, -52421304, 348469872006]$	\(y^2+xy+y=x^3-52421304x+348469872006\)	440.2.0.?	$[(323016, 183377906)]$
78650.ba1	78650c1	78650.ba	78650c	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{19} \cdot 5^{13} \cdot 11^{7} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$147087360$	$4.637161$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$7.01206$	$[1, 0, 1, -3236213126, 169030056130648]$	\(y^2+xy+y=x^3-3236213126x+169030056130648\)	440.2.0.?	$[ ]$
92950.w1	92950j1	92950.w	92950j	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 2^{19} \cdot 5^{13} \cdot 11 \cdot 13^{14} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$25$	$5$	$0$	$205922304$	$4.720688$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$6.99729$	$[1, 0, 1, -4520000151, -279008359999302]$	\(y^2+xy+y=x^3-4520000151x-279008359999302\)	440.2.0.?	$[ ]$
102960.w1	102960cv1	102960.w	102960cv	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{31} \cdot 3^{6} \cdot 5^{7} \cdot 11 \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$35.55189129$	$1$		$0$	$36771840$	$3.875950$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$6.05703$	$[0, 0, 0, -154054443, -1755578680742]$	\(y^2=x^3-154054443x-1755578680742\)	440.2.0.?	$[(49689611839676398221/6923461, 350240957050824901135091789824/6923461)]$
125840.cg1	125840co1	125840.cg	125840co	$1$	$1$	\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{31} \cdot 5^{7} \cdot 11^{7} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1.028343125$	$1$		$4$	$147087360$	$4.525589$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$6.61739$	$[0, 1, 0, -2071176400, -86544217209452]$	\(y^2=x^3+x^2-2071176400x-86544217209452\)	440.2.0.?	$[(866466, 805376000)]$
141570.m1	141570dv1	141570.m	141570dv	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{19} \cdot 3^{6} \cdot 5^{7} \cdot 11^{7} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$183859200$	$4.381752$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$6.40614$	$[1, -1, 0, -1165036725, -36510259116875]$	\(y^2+xy=x^3-x^2-1165036725x-36510259116875\)	440.2.0.?	$[ ]$
148720.bl1	148720v1	148720.bl	148720v	$1$	$1$	\( 2^{4} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{31} \cdot 5^{7} \cdot 11 \cdot 13^{14} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$205922304$	$4.609116$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$6.60873$	$[0, 1, 0, -2892800096, 142851123199604]$	\(y^2=x^3+x^2-2892800096x+142851123199604\)	440.2.0.?	$[ ]$
167310.bx1	167310di1	167310.bx	167310di	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{19} \cdot 3^{6} \cdot 5^{7} \cdot 11 \cdot 13^{14} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$14.63722664$	$1$		$0$	$257402880$	$4.465279$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$6.40050$	$[1, -1, 0, -1627200054, 60266131199860]$	\(y^2+xy=x^3-x^2-1627200054x+60266131199860\)	440.2.0.?	$[(110382411/19, 1149757301003/19)]$
204490.i1	204490cj1	204490.i	204490cj	$1$	$1$	\( 2 \cdot 5 \cdot 11^{2} \cdot 13^{2} \)	\( - 2^{19} \cdot 5^{7} \cdot 11^{7} \cdot 13^{14} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$9$	$3$	$0$	$1029611520$	$5.114922$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$6.93298$	$[1, 1, 0, -21876800728, 2970867891192128]$	\(y^2+xy=x^3+x^2-21876800728x+2970867891192128\)	440.2.0.?	$[ ]$
228800.bn1	228800ec1	228800.bn	228800ec	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{37} \cdot 5^{13} \cdot 11 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$235339776$	$4.477936$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$6.25047$	$[0, -1, 0, -1711716033, -65020862048063]$	\(y^2=x^3-x^2-1711716033x-65020862048063\)	440.2.0.?	$[ ]$
228800.ew1	228800cv1	228800.ew	228800cv	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{37} \cdot 5^{13} \cdot 11 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$4$	$2$	$0$	$235339776$	$4.477936$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$6.25047$	$[0, 1, 0, -1711716033, 65020862048063]$	\(y^2=x^3+x^2-1711716033x+65020862048063\)	440.2.0.?	$[ ]$
350350.en1	350350en1	350350.en	350350en	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{19} \cdot 5^{13} \cdot 7^{6} \cdot 11 \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1.928319353$	$1$		$4$	$463325184$	$4.411171$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$5.97911$	$[1, 1, 1, -1310532588, 43558734000781]$	\(y^2+xy+y=x^3+x^2-1310532588x+43558734000781\)	440.2.0.?	$[(318265, 178347117)]$
411840.jk1	411840jk1	411840.jk	411840jk	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{37} \cdot 3^{6} \cdot 5^{7} \cdot 11 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$294174720$	$4.222519$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$5.72923$	$[0, 0, 0, -616217772, -14044629445936]$	\(y^2=x^3-616217772x-14044629445936\)	440.2.0.?	$[ ]$
411840.lk1	411840lk1	411840.lk	411840lk	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{37} \cdot 3^{6} \cdot 5^{7} \cdot 11 \cdot 13^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$2.661581504$	$1$		$8$	$294174720$	$4.222519$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$5.72923$	$[0, 0, 0, -616217772, 14044629445936]$	\(y^2=x^3-616217772x+14044629445936\)	440.2.0.?	$[(59862, 13844480), (-18723, 4361045)]$
413270.bc1	413270bc1	413270.bc	413270bc	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \)	\( - 2^{19} \cdot 5^{7} \cdot 11 \cdot 13^{8} \cdot 17^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$9$	$3$	$0$	$263940096$	$4.050102$	$-135412551115258010417641/367535633653760000000$	$1.02578$	$5.56769$	$[1, 0, 1, -309178709, -4991436678368]$	\(y^2+xy+y=x^3-309178709x-4991436678368\)	440.2.0.?	$[ ]$

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