Elliptic curve search results

Results (15 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
2110.e1	2110h1	2110.e	2110h	$2$	$7$	\( 2 \cdot 5 \cdot 211 \)	\( - 2^{14} \cdot 5^{7} \cdot 211 \)	$0$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$14770$	$96$	$2$	$1$	$1$		$6$	$5600$	$1.077579$	$-125180837135497521/270080000000$	$1.02427$	$5.14371$	$1$	$[1, -1, 1, -10422, 412869]$	\(y^2+xy+y=x^3-x^2-10422x+412869\)	7.48.0-7.a.1.2, 2110.2.0.?, 14770.96.2.?	$[ ]$	$1$
10550.m1	10550e1	10550.m	10550e	$2$	$7$	\( 2 \cdot 5^{2} \cdot 211 \)	\( - 2^{14} \cdot 5^{13} \cdot 211 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$14770$	$96$	$2$	$1$	$1$		$0$	$134400$	$1.882298$	$-125180837135497521/270080000000$	$1.02427$	$5.29248$	$1$	$[1, -1, 0, -260542, 51348116]$	\(y^2+xy=x^3-x^2-260542x+51348116\)	7.24.0.a.1, 35.48.0-7.a.1.1, 2110.2.0.?, 2954.48.0.?, 14770.96.2.?	$[ ]$	$1$
16880.r1	16880p1	16880.r	16880p	$2$	$7$	\( 2^{4} \cdot 5 \cdot 211 \)	\( - 2^{26} \cdot 5^{7} \cdot 211 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$29540$	$96$	$2$	$2.572816106$	$1$		$0$	$134400$	$1.770725$	$-125180837135497521/270080000000$	$1.02427$	$4.89938$	$1$	$[0, 0, 0, -166747, -26256886]$	\(y^2=x^3-166747x-26256886\)	7.24.0.a.1, 28.48.0-7.a.1.1, 2110.2.0.?, 14770.48.2.?, 29540.96.2.?	$[(7237/3, 512000/3)]$	$1$
18990.e1	18990e1	18990.e	18990e	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5 \cdot 211 \)	\( - 2^{14} \cdot 3^{6} \cdot 5^{7} \cdot 211 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$44310$	$96$	$2$	$11.66736574$	$1$		$0$	$78400$	$1.626884$	$-125180837135497521/270080000000$	$1.02427$	$4.66560$	$1$	$[1, -1, 0, -93795, -11053675]$	\(y^2+xy=x^3-x^2-93795x-11053675\)	7.24.0.a.1, 21.48.0-7.a.1.2, 2110.2.0.?, 14770.48.2.?, 44310.96.2.?	$[(896198/49, 262250701/49)]$	$1$
67520.b1	67520br1	67520.b	67520br	$2$	$7$	\( 2^{6} \cdot 5 \cdot 211 \)	\( - 2^{32} \cdot 5^{7} \cdot 211 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$59080$	$96$	$2$	$8.972862257$	$1$		$0$	$1075200$	$2.117298$	$-125180837135497521/270080000000$	$1.02427$	$4.66260$	$1$	$[0, 0, 0, -666988, -210055088]$	\(y^2=x^3-666988x-210055088\)	7.24.0.a.1, 56.48.0-7.a.1.2, 2110.2.0.?, 14770.48.2.?, 59080.96.2.?	$[(634058/13, 491749376/13)]$	$1$
67520.bw1	67520j1	67520.bw	67520j	$2$	$7$	\( 2^{6} \cdot 5 \cdot 211 \)	\( - 2^{32} \cdot 5^{7} \cdot 211 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$59080$	$96$	$2$	$7.714552260$	$1$		$0$	$1075200$	$2.117298$	$-125180837135497521/270080000000$	$1.02427$	$4.66260$	$1$	$[0, 0, 0, -666988, 210055088]$	\(y^2=x^3-666988x+210055088\)	7.24.0.a.1, 56.48.0-7.a.1.1, 2110.2.0.?, 14770.48.2.?, 59080.96.2.?	$[(306262/27, 39329792/27)]$	$1$
84400.b1	84400bj1	84400.b	84400bj	$2$	$7$	\( 2^{4} \cdot 5^{2} \cdot 211 \)	\( - 2^{26} \cdot 5^{13} \cdot 211 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$29540$	$96$	$2$	$1$	$1$		$0$	$3225600$	$2.575443$	$-125180837135497521/270080000000$	$1.02427$	$5.05554$	$1$	$[0, 0, 0, -4168675, -3282110750]$	\(y^2=x^3-4168675x-3282110750\)	7.24.0.a.1, 140.48.0.?, 2110.2.0.?, 5908.48.0.?, 14770.48.2.?, $\ldots$	$[ ]$	$1$
94950.bp1	94950bt1	94950.bp	94950bt	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 211 \)	\( - 2^{14} \cdot 3^{6} \cdot 5^{13} \cdot 211 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$44310$	$96$	$2$	$1$	$1$		$0$	$1881600$	$2.431602$	$-125180837135497521/270080000000$	$1.02427$	$4.85298$	$1$	$[1, -1, 1, -2344880, -1384054253]$	\(y^2+xy+y=x^3-x^2-2344880x-1384054253\)	7.24.0.a.1, 105.48.0.?, 2110.2.0.?, 8862.48.0.?, 14770.48.2.?, $\ldots$	$[ ]$	$1$
103390.bh1	103390z1	103390.bh	103390z	$2$	$7$	\( 2 \cdot 5 \cdot 7^{2} \cdot 211 \)	\( - 2^{14} \cdot 5^{7} \cdot 7^{6} \cdot 211 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.4	7B.1.6	$14770$	$96$	$2$	$1$	$9$	$3$	$0$	$2116800$	$2.050533$	$-125180837135497521/270080000000$	$1.02427$	$4.42115$	$1$	$[1, -1, 1, -510663, -140592833]$	\(y^2+xy+y=x^3-x^2-510663x-140592833\)	7.48.0-7.a.1.1, 2110.2.0.?, 14770.96.2.?	$[ ]$	$1$
151920.l1	151920l1	151920.l	151920l	$2$	$7$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 211 \)	\( - 2^{26} \cdot 3^{6} \cdot 5^{7} \cdot 211 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$88620$	$96$	$2$	$6.368201142$	$1$		$0$	$1881600$	$2.320030$	$-125180837135497521/270080000000$	$1.02427$	$4.54959$	$1$	$[0, 0, 0, -1500723, 708935922]$	\(y^2=x^3-1500723x+708935922\)	7.24.0.a.1, 84.48.0.?, 2110.2.0.?, 14770.48.2.?, 88620.96.2.?	$[(57529/9, 842752/9)]$	$1$
255310.a1	255310a1	255310.a	255310a	$2$	$7$	\( 2 \cdot 5 \cdot 11^{2} \cdot 211 \)	\( - 2^{14} \cdot 5^{7} \cdot 11^{6} \cdot 211 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$162470$	$96$	$2$	$3.100568625$	$1$		$2$	$6664000$	$2.276527$	$-125180837135497521/270080000000$	$1.02427$	$4.31796$	$1$	$[1, -1, 0, -1261024, -545745920]$	\(y^2+xy=x^3-x^2-1261024x-545745920\)	7.24.0.a.1, 77.48.0.?, 2110.2.0.?, 14770.48.2.?, 162470.96.2.?	$[(1856, 58272)]$	$1$
337600.d1	337600d1	337600.d	337600d	$2$	$7$	\( 2^{6} \cdot 5^{2} \cdot 211 \)	\( - 2^{32} \cdot 5^{13} \cdot 211 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$59080$	$96$	$2$	$2.619285948$	$1$		$2$	$25804800$	$2.922020$	$-125180837135497521/270080000000$	$1.02427$	$4.83169$	$1$	$[0, 0, 0, -16674700, 26256886000]$	\(y^2=x^3-16674700x+26256886000\)	7.24.0.a.1, 280.48.0.?, 2110.2.0.?, 11816.48.0.?, 14770.48.2.?, $\ldots$	$[(-3490, 204800)]$	$1$
337600.fa1	337600fa1	337600.fa	337600fa	$2$	$7$	\( 2^{6} \cdot 5^{2} \cdot 211 \)	\( - 2^{32} \cdot 5^{13} \cdot 211 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$59080$	$96$	$2$	$65.27940831$	$1$		$0$	$25804800$	$2.922020$	$-125180837135497521/270080000000$	$1.02427$	$4.83169$	$1$	$[0, 0, 0, -16674700, -26256886000]$	\(y^2=x^3-16674700x-26256886000\)	7.24.0.a.1, 280.48.0.?, 2110.2.0.?, 11816.48.0.?, 14770.48.2.?, $\ldots$	$[(10084948515410841735033992987890/4946776897101, 32024999178050972000006430012276730163086336000/4946776897101)]$	$1$
356590.a1	356590a1	356590.a	356590a	$2$	$7$	\( 2 \cdot 5 \cdot 13^{2} \cdot 211 \)	\( - 2^{14} \cdot 5^{7} \cdot 13^{6} \cdot 211 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$192010$	$96$	$2$	$4.907389224$	$1$		$8$	$13171200$	$2.360054$	$-125180837135497521/270080000000$	$1.02427$	$4.28352$	$1$	$[1, -1, 0, -1761265, 901789981]$	\(y^2+xy=x^3-x^2-1761265x+901789981\)	7.24.0.a.1, 91.48.0.?, 2110.2.0.?, 14770.48.2.?, 192010.96.2.?	$[(530, 10551), (786, 1207)]$	$1$
445210.g1	445210g1	445210.g	445210g	$2$	$7$	\( 2 \cdot 5 \cdot 211^{2} \)	\( - 2^{14} \cdot 5^{7} \cdot 211^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$14770$	$96$	$2$	$31.52831427$	$1$		$0$	$249312000$	$3.753510$	$-125180837135497521/270080000000$	$1.02427$	$5.49606$	$1$	$[1, -1, 0, -463983949, -3853874243995]$	\(y^2+xy=x^3-x^2-463983949x-3853874243995\)	7.24.0.a.1, 70.48.0-7.a.1.2, 1477.48.0.?, 2110.2.0.?, 14770.96.2.?	$[(1782825977693207626/2433561, 2372031471364212652157815907/2433561)]$	$1$

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