Elliptic curves over $\Q$ of conductor 7935

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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
7935.a1	7935g1	7935.a	7935g	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{2} \cdot 5^{3} \cdot 23^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.225148680$	$1$		$6$	$4608$	$0.322572$	$2166784/1125$	$0.98263$	$3.02156$	$[0, 1, 1, -176, 230]$	\(y^2+y=x^3+x^2-176x+230\)	10.2.0.a.1	$[(-8, 34)]$
7935.b1	7935h1	7935.b	7935h	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \)	\( - 3^{8} \cdot 5^{3} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1.143215683$	$1$		$4$	$101376$	$1.690533$	$-111701610496/18862875$	$0.93587$	$4.95689$	$[0, 1, 1, -53076, -5367004]$	\(y^2+y=x^3+x^2-53076x-5367004\)	230.2.0.?	$[(429, 7141)]$
7935.c1	7935m1	7935.c	7935m	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{2} \cdot 5^{3} \cdot 23^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$105984$	$1.890318$	$2166784/1125$	$0.98263$	$5.11677$	$[0, 1, 1, -93280, -3547244]$	\(y^2+y=x^3+x^2-93280x-3547244\)	10.2.0.a.1	$[]$
7935.d1	7935b7	7935.d	7935b	$8$	$16$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{4} \cdot 5 \cdot 23^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.121	2B	$11040$	$768$	$13$	$1$	$1$		$0$	$50688$	$1.858616$	$1114544804970241/405$	$1.07354$	$5.95389$	$[1, 1, 1, -1142651, 469654508]$	\(y^2+xy+y=x^3+x^2-1142651x+469654508\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$	$[]$
7935.d2	7935b5	7935.d	7935b	$8$	$16$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{8} \cdot 5^{2} \cdot 23^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.123	2Cs	$5520$	$768$	$13$	$1$	$1$		$2$	$25344$	$1.512043$	$272223782641/164025$	$1.03897$	$5.02758$	$[1, 1, 1, -71426, 7313798]$	\(y^2+xy+y=x^3+x^2-71426x+7313798\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$	$[]$
7935.d3	7935b8	7935.d	7935b	$8$	$16$	\( 3 \cdot 5 \cdot 23^{2} \)	\( - 3^{16} \cdot 5 \cdot 23^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.134	2B	$11040$	$768$	$13$	$1$	$1$		$0$	$50688$	$1.858616$	$-147281603041/215233605$	$1.05949$	$5.09949$	$[1, 1, 1, -58201, 10122788]$	\(y^2+xy+y=x^3+x^2-58201x+10122788\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[]$
7935.d4	7935b3	7935.d	7935b	$8$	$16$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3 \cdot 5 \cdot 23^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$11040$	$768$	$13$	$1$	$4$	$2$	$0$	$12672$	$1.165470$	$56667352321/15$	$1.03019$	$4.85279$	$[1, 1, 1, -42331, -3369886]$	\(y^2+xy+y=x^3+x^2-42331x-3369886\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$	$[]$
7935.d5	7935b4	7935.d	7935b	$8$	$16$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{4} \cdot 5^{4} \cdot 23^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.44	2Cs	$5520$	$768$	$13$	$1$	$1$		$2$	$12672$	$1.165470$	$111284641/50625$	$1.02534$	$4.15864$	$[1, 1, 1, -5301, 66498]$	\(y^2+xy+y=x^3+x^2-5301x+66498\)	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[]$
7935.d6	7935b2	7935.d	7935b	$8$	$16$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{2} \cdot 5^{2} \cdot 23^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.3	2Cs	$5520$	$768$	$13$	$1$	$1$		$2$	$6336$	$0.818896$	$13997521/225$	$0.96230$	$3.92774$	$[1, 1, 1, -2656, -53056]$	\(y^2+xy+y=x^3+x^2-2656x-53056\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[]$
7935.d7	7935b1	7935.d	7935b	$8$	$16$	\( 3 \cdot 5 \cdot 23^{2} \)	\( - 3 \cdot 5 \cdot 23^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.1	2B	$11040$	$768$	$13$	$1$	$1$		$1$	$3168$	$0.472322$	$-1/15$	$1.19808$	$3.22705$	$[1, 1, 1, -11, -2272]$	\(y^2+xy+y=x^3+x^2-11x-2272\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$	$[]$
7935.d8	7935b6	7935.d	7935b	$8$	$16$	\( 3 \cdot 5 \cdot 23^{2} \)	\( - 3^{2} \cdot 5^{8} \cdot 23^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.197	2B	$11040$	$768$	$13$	$1$	$1$		$0$	$25344$	$1.512043$	$4733169839/3515625$	$1.05585$	$4.57631$	$[1, 1, 1, 18504, 523554]$	\(y^2+xy+y=x^3+x^2+18504x+523554\)	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$	$[]$
7935.e1	7935k4	7935.e	7935k	$4$	$4$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3 \cdot 5^{2} \cdot 23^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$552$	$48$	$0$	$1$	$1$		$0$	$84480$	$1.846069$	$7679186557489/20988075$	$0.94915$	$5.39952$	$[1, 0, 0, -217430, 38913225]$	\(y^2+xy=x^3-217430x+38913225\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$	$[]$
7935.e2	7935k3	7935.e	7935k	$4$	$4$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3 \cdot 5^{8} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$552$	$48$	$0$	$1$	$1$		$0$	$84480$	$1.846069$	$6117442271569/26953125$	$0.94767$	$5.37420$	$[1, 0, 0, -201560, -34714053]$	\(y^2+xy=x^3-201560x-34714053\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.1, 138.6.0.?, 184.24.0.?, $\ldots$	$[]$
7935.e3	7935k2	7935.e	7935k	$4$	$4$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{2} \cdot 5^{4} \cdot 23^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$276$	$48$	$0$	$1$	$1$		$2$	$42240$	$1.499496$	$5168743489/2975625$	$0.99205$	$4.58611$	$[1, 0, 0, -19055, 71400]$	\(y^2+xy=x^3-19055x+71400\)	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.3, 92.24.0.?, 276.48.0.?	$[]$
7935.e4	7935k1	7935.e	7935k	$4$	$4$	\( 3 \cdot 5 \cdot 23^{2} \)	\( - 3^{4} \cdot 5^{2} \cdot 23^{7} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$552$	$48$	$0$	$1$	$1$		$3$	$21120$	$1.152922$	$80062991/46575$	$0.95431$	$4.12197$	$[1, 0, 0, 4750, 9507]$	\(y^2+xy=x^3+4750x+9507\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.9, 46.6.0.a.1, 92.24.0.?, $\ldots$	$[]$
7935.f1	7935a1	7935.f	7935a	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{4} \cdot 5 \cdot 23^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$17664$	$1.281807$	$753664/405$	$0.94647$	$4.30076$	$[0, -1, 1, -8111, -72439]$	\(y^2+y=x^3-x^2-8111x-72439\)	10.2.0.a.1	$[]$
7935.g1	7935d1	7935.g	7935d	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \)	\( - 3^{2} \cdot 5^{5} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$0.121354457$	$1$		$6$	$42240$	$1.819633$	$-43258336804864/646875$	$1.00304$	$5.59205$	$[0, -1, 1, -386875, 92750133]$	\(y^2+y=x^3-x^2-386875x+92750133\)	230.2.0.?	$[(859, 19837)]$
7935.h1	7935e1	7935.h	7935e	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{4} \cdot 5 \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.624781484$	$1$		$4$	$768$	$-0.285940$	$753664/405$	$0.94647$	$2.20555$	$[0, -1, 1, -15, 11]$	\(y^2+y=x^3-x^2-15x+11\)	10.2.0.a.1	$[(-3, 4)]$
7935.i1	7935i1	7935.i	7935i	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \)	\( - 3^{2} \cdot 5 \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$8448$	$0.831668$	$-262144/1035$	$0.88491$	$3.71383$	$[0, 1, 1, -705, -20401]$	\(y^2+y=x^3+x^2-705x-20401\)	230.2.0.?	$[]$
7935.j1	7935j3	7935.j	7935j	$4$	$4$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{5} \cdot 5^{12} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$2760$	$48$	$0$	$1$	$1$		$0$	$633600$	$2.854019$	$3026030815665395929/1364501953125$	$1.01324$	$6.83445$	$[1, 0, 1, -15940633, -24488418157]$	\(y^2+xy+y=x^3-15940633x-24488418157\)	2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 138.6.0.?, 276.24.0.?, $\ldots$	$[]$
7935.j2	7935j4	7935.j	7935j	$4$	$4$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{20} \cdot 5^{3} \cdot 23^{7} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$2760$	$48$	$0$	$1$	$1$		$2$	$633600$	$2.854019$	$502552788401502649/10024505152875$	$1.00677$	$6.63450$	$[1, 0, 1, -8762103, 9808700131]$	\(y^2+xy+y=x^3-8762103x+9808700131\)	2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 460.24.0.?, 552.24.0.?, $\ldots$	$[]$
7935.j3	7935j2	7935.j	7935j	$4$	$4$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{10} \cdot 5^{6} \cdot 23^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1380$	$48$	$0$	$1$	$1$		$2$	$316800$	$2.507446$	$1159246431432649/488076890625$	$0.99697$	$5.95827$	$[1, 0, 1, -1157728, -250367119]$	\(y^2+xy+y=x^3-1157728x-250367119\)	2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.b.1.6, 276.24.0.?, 460.24.0.?, $\ldots$	$[]$
7935.j4	7935j1	7935.j	7935j	$4$	$4$	\( 3 \cdot 5 \cdot 23^{2} \)	\( - 3^{5} \cdot 5^{3} \cdot 23^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$2760$	$48$	$0$	$1$	$1$		$1$	$158400$	$2.160873$	$10519294081031/8500170375$	$0.97609$	$5.43457$	$[1, 0, 1, 241477, -28733047]$	\(y^2+xy+y=x^3+241477x-28733047\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 30.6.0.a.1, 60.12.0.g.1, $\ldots$	$[]$
7935.k1	7935c1	7935.k	7935c	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \)	\( - 3^{4} \cdot 5 \cdot 23^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$50688$	$1.536905$	$2887553024/4927635$	$0.92737$	$4.59558$	$[0, -1, 1, 15694, 1051157]$	\(y^2+y=x^3-x^2+15694x+1051157\)	230.2.0.?	$[]$
7935.l1	7935f1	7935.l	7935f	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{2} \cdot 5 \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$4.920465647$	$1$		$0$	$35328$	$1.443285$	$462843904/45$	$0.91470$	$5.01578$	$[0, 1, 1, -68946, -6990505]$	\(y^2+y=x^3+x^2-68946x-6990505\)	10.2.0.a.1	$[(-72987/22, 15307/22)]$
7935.m1	7935l1	7935.m	7935l	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{2} \cdot 5 \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$1536$	$-0.124462$	$462843904/45$	$0.91470$	$2.92057$	$[0, 1, 1, -130, 529]$	\(y^2+y=x^3+x^2-130x+529\)	10.2.0.a.1	$[]$

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