Elliptic curves over $\Q$ of conductor 71058

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (19 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
71058.a1	71058c1	71058.a	71058c	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( 2^{16} \cdot 3 \cdot 13^{5} \cdot 911 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$71058$	$2$	$0$	$0.930695290$	$1$		$4$	$271360$	$1.424589$	$1962331615744816681/66502247645184$	$0.91088$	$3.77045$	$1$	$[1, 1, 0, -26082, -1584012]$	\(y^2+xy=x^3+x^2-26082x-1584012\)	71058.2.0.?	$[(788, 21238)]$	$1$
71058.b1	71058b1	71058.b	71058b	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( 2^{4} \cdot 3 \cdot 13 \cdot 911 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$71058$	$2$	$0$	$0.885460896$	$1$		$4$	$8960$	$-0.171426$	$3803721481/568464$	$0.75020$	$1.97464$	$1$	$[1, 1, 0, -32, 48]$	\(y^2+xy=x^3+x^2-32x+48\)	71058.2.0.?	$[(4, 0)]$	$1$
71058.c1	71058a1	71058.c	71058a	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( 2^{14} \cdot 3^{5} \cdot 13 \cdot 911 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$71058$	$2$	$0$	$1$	$4$	$2$	$0$	$185920$	$1.083723$	$484389500773181977/47150678016$	$0.90280$	$3.64522$	$1$	$[1, 1, 0, -16361, -812283]$	\(y^2+xy=x^3+x^2-16361x-812283\)	71058.2.0.?	$[ ]$	$1$
71058.d1	71058g1	71058.d	71058g	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( 2^{2} \cdot 3^{3} \cdot 13 \cdot 911 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$71058$	$2$	$0$	$0.400432964$	$1$		$16$	$32448$	$0.083792$	$1091772468073/1279044$	$0.80885$	$2.48126$	$1$	$[1, 0, 1, -215, 1190]$	\(y^2+xy+y=x^3-215x+1190\)	71058.2.0.?	$[(9, -8), (3, 22)]$	$1$
71058.e1	71058e1	71058.e	71058e	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( 2^{8} \cdot 3^{13} \cdot 13 \cdot 911 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$71058$	$2$	$0$	$0.196528568$	$1$		$8$	$179712$	$1.185732$	$78610115651218633/4833681225984$	$0.89362$	$3.48245$	$1$	$[1, 0, 1, -8925, 306040]$	\(y^2+xy+y=x^3-8925x+306040\)	71058.2.0.?	$[(-13, 654)]$	$1$
71058.f1	71058f1	71058.f	71058f	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( 2^{8} \cdot 3^{7} \cdot 13 \cdot 911 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$71058$	$2$	$0$	$0.466152338$	$1$		$16$	$60928$	$0.736620$	$1488142744688809/6630564096$	$0.86732$	$3.12734$	$1$	$[1, 0, 1, -2379, 44278]$	\(y^2+xy+y=x^3-2379x+44278\)	71058.2.0.?	$[(-1, 216), (26, 0)]$	$1$
71058.g1	71058d1	71058.g	71058d	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( 2^{6} \cdot 3^{5} \cdot 13^{3} \cdot 911 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$71058$	$2$	$0$	$0.216403833$	$1$		$8$	$60480$	$0.720997$	$113106045269881/31126814784$	$0.85574$	$2.89666$	$1$	$[1, 0, 1, -1008, 8830]$	\(y^2+xy+y=x^3-1008x+8830\)	71058.2.0.?	$[(65, 435)]$	$1$
71058.h1	71058h2	71058.h	71058h	$2$	$2$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( 2^{5} \cdot 3 \cdot 13 \cdot 911^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$284232$	$12$	$0$	$1$	$4$	$2$	$0$	$142080$	$0.824871$	$32332795450366033/1035741408$	$0.88716$	$3.40292$	$1$	$[1, 1, 1, -6637, -210877]$	\(y^2+xy+y=x^3+x^2-6637x-210877\)	2.3.0.a.1, 312.6.0.?, 3644.6.0.?, 284232.12.0.?	$[ ]$	$1$
71058.h2	71058h1	71058.h	71058h	$2$	$2$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( - 2^{10} \cdot 3^{2} \cdot 13^{2} \cdot 911 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$284232$	$12$	$0$	$1$	$1$		$1$	$71040$	$0.478298$	$-6920916378193/1418886144$	$0.83059$	$2.67372$	$1$	$[1, 1, 1, -397, -3709]$	\(y^2+xy+y=x^3+x^2-397x-3709\)	2.3.0.a.1, 312.6.0.?, 1822.6.0.?, 284232.12.0.?	$[ ]$	$1$
71058.i1	71058o1	71058.i	71058o	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( 2^{14} \cdot 3^{5} \cdot 13^{3} \cdot 911 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$71058$	$2$	$0$	$0.074076297$	$1$		$14$	$201600$	$1.192430$	$40969785846723553/7968464584704$	$0.89284$	$3.42411$	$1$	$[1, 0, 0, -7182, -191484]$	\(y^2+xy=x^3-7182x-191484\)	71058.2.0.?	$[(-60, 186)]$	$1$
71058.j1	71058k2	71058.j	71058k	$2$	$3$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( 2^{2} \cdot 3 \cdot 13^{3} \cdot 911^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$71058$	$16$	$0$	$1$	$1$		$0$	$256896$	$1.244328$	$39115988185876993/19932713929284$	$0.91081$	$3.41997$	$1$	$[1, 0, 0, -7072, 78524]$	\(y^2+xy=x^3-7072x+78524\)	3.8.0-3.a.1.1, 71058.16.0.?	$[ ]$	$1$
71058.j2	71058k1	71058.j	71058k	$2$	$3$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( 2^{6} \cdot 3^{3} \cdot 13 \cdot 911 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$71058$	$16$	$0$	$1$	$1$		$2$	$85632$	$0.695021$	$20394973955109313/20464704$	$0.88433$	$3.36167$	$1$	$[1, 0, 0, -5692, 164816]$	\(y^2+xy=x^3-5692x+164816\)	3.8.0-3.a.1.2, 71058.16.0.?	$[ ]$	$1$
71058.k1	71058m1	71058.k	71058m	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( - 2^{8} \cdot 3 \cdot 13 \cdot 911 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$142116$	$2$	$0$	$1.469946421$	$1$		$2$	$15744$	$0.019950$	$-1948441249/9095424$	$0.78391$	$2.11211$	$1$	$[1, 0, 0, -26, -156]$	\(y^2+xy=x^3-26x-156\)	142116.2.0.?	$[(12, 30)]$	$1$
71058.l1	71058i1	71058.l	71058i	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( - 2^{22} \cdot 3^{11} \cdot 13 \cdot 911 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$142116$	$2$	$0$	$0.208442407$	$1$		$8$	$476256$	$1.742584$	$2676072235884207551/8799448134057984$	$0.93375$	$3.93641$	$1$	$[1, 0, 0, 28924, -4094448]$	\(y^2+xy=x^3+28924x-4094448\)	142116.2.0.?	$[(232, 3772)]$	$1$
71058.m1	71058l2	71058.m	71058l	$2$	$7$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( 2^{2} \cdot 3 \cdot 13 \cdot 911^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$497406$	$96$	$2$	$22.01243137$	$1$		$0$	$16134720$	$3.504047$	$3222389999241959100048447349969/81236880320586561709476$	$1.00770$	$6.28825$	$1$	$[1, 0, 0, -307716981, -2077644355683]$	\(y^2+xy=x^3-307716981x-2077644355683\)	7.48.0-7.a.2.2, 71058.2.0.?, 497406.96.2.?	$[(-23934671899/1540, 9030111395831/1540)]$	$1$
71058.m2	71058l1	71058.m	71058l	$2$	$7$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( 2^{14} \cdot 3^{7} \cdot 13^{7} \cdot 911 \)	$1$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$497406$	$96$	$2$	$3.144633053$	$1$		$12$	$2304960$	$2.531094$	$14828809162780998661814929/2048285853033578496$	$0.97459$	$5.18819$	$1$	$[1, 0, 0, -5118321, 4456008297]$	\(y^2+xy=x^3-5118321x+4456008297\)	7.48.0-7.a.1.2, 71058.2.0.?, 497406.96.2.?	$[(1242, 3291)]$	$1$
71058.n1	71058j2	71058.n	71058j	$2$	$2$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( 2^{2} \cdot 3 \cdot 13^{2} \cdot 911^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$10932$	$12$	$0$	$5.135409204$	$1$		$0$	$86016$	$0.919062$	$139198812461120593/1683079788$	$0.89579$	$3.53360$	$1$	$[1, 0, 0, -10797, 430917]$	\(y^2+xy=x^3-10797x+430917\)	2.3.0.a.1, 12.6.0.a.1, 3644.6.0.?, 10932.12.0.?	$[(1514/5, -2723/5)]$	$1$
71058.n2	71058j1	71058.n	71058j	$2$	$2$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( - 2^{4} \cdot 3^{2} \cdot 13^{4} \cdot 911 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$10932$	$12$	$0$	$2.567704602$	$1$		$3$	$43008$	$0.572488$	$-31366144171153/3746746224$	$0.84129$	$2.79865$	$1$	$[1, 0, 0, -657, 7065]$	\(y^2+xy=x^3-657x+7065\)	2.3.0.a.1, 12.6.0.b.1, 1822.6.0.?, 10932.12.0.?	$[(20, 35)]$	$1$
71058.o1	71058n1	71058.o	71058n	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 911 \)	\( 2^{4} \cdot 3^{3} \cdot 13 \cdot 911 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$71058$	$2$	$0$	$0.533018907$	$1$		$4$	$16128$	$0.037062$	$78018694417/5116176$	$0.78348$	$2.24507$	$1$	$[1, 0, 0, -89, 297]$	\(y^2+xy=x^3-89x+297\)	71058.2.0.?	$[(4, 1)]$	$1$

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