Elliptic curves over $\Q$ of conductor 1925

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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
1925.a1	1925g1	1925.a	1925g	$1$	$1$	\( 5^{2} \cdot 7 \cdot 11 \)	\( 5^{2} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$154$	$2$	$0$	$0.495516217$	$1$		$4$	$120$	$-0.643370$	$552960/77$	$0.74478$	$2.17409$	$[0, 0, 1, -5, -4]$	\(y^2+y=x^3-5x-4\)	154.2.0.?	$[(-1, 0)]$
1925.b1	1925i2	1925.b	1925i	$2$	$2$	\( 5^{2} \cdot 7 \cdot 11 \)	\( 5^{3} \cdot 7^{2} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$0.165963007$	$1$		$10$	$1344$	$0.677427$	$1409825840597/86806489$	$0.92643$	$4.33746$	$[1, 0, 0, -1168, 14427]$	\(y^2+xy=x^3-1168x+14427\)	2.3.0.a.1, 10.6.0.a.1, 44.6.0.d.1, 220.12.0.?	$[(13, 32)]$
1925.b2	1925i1	1925.b	1925i	$2$	$2$	\( 5^{2} \cdot 7 \cdot 11 \)	\( - 5^{3} \cdot 7^{4} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$0.331926014$	$1$		$11$	$672$	$0.330854$	$163667323/3195731$	$0.91763$	$3.60061$	$[1, 0, 0, 57, 952]$	\(y^2+xy=x^3+57x+952\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[(-3, 29)]$
1925.c1	1925f2	1925.c	1925f	$2$	$2$	\( 5^{2} \cdot 7 \cdot 11 \)	\( 5^{6} \cdot 7^{6} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$0.188388303$	$1$		$12$	$1536$	$0.718699$	$15124197817/1294139$	$0.97750$	$4.37625$	$[1, 0, 0, -1288, 16317]$	\(y^2+xy=x^3-1288x+16317\)	2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.?	$[(7, 84)]$
1925.c2	1925f1	1925.c	1925f	$2$	$2$	\( 5^{2} \cdot 7 \cdot 11 \)	\( - 5^{6} \cdot 7^{3} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$0.376776606$	$1$		$9$	$768$	$0.372126$	$4657463/41503$	$0.89262$	$3.65978$	$[1, 0, 0, 87, 1192]$	\(y^2+xy=x^3+87x+1192\)	2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.?	$[(3, 37)]$
1925.d1	1925m2	1925.d	1925m	$2$	$2$	\( 5^{2} \cdot 7 \cdot 11 \)	\( 5^{9} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$0$	$4160$	$1.158876$	$1968634623437/5929$	$1.03649$	$5.65848$	$[1, 0, 0, -32638, -2272233]$	\(y^2+xy=x^3-32638x-2272233\)	2.3.0.a.1, 10.6.0.a.1, 44.6.0.d.1, 220.12.0.?	$[ ]$
1925.d2	1925m1	1925.d	1925m	$2$	$2$	\( 5^{2} \cdot 7 \cdot 11 \)	\( - 5^{9} \cdot 7^{4} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$2080$	$0.812303$	$-461889917/26411$	$0.98288$	$4.56584$	$[1, 0, 0, -2013, -36608]$	\(y^2+xy=x^3-2013x-36608\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[ ]$
1925.e1	1925k2	1925.e	1925k	$2$	$3$	\( 5^{2} \cdot 7 \cdot 11 \)	\( 5^{4} \cdot 7 \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$462$	$16$	$0$	$2.441514165$	$1$		$0$	$648$	$0.461672$	$1003555225600/9317$	$0.97185$	$4.50532$	$[0, 1, 1, -1783, -29581]$	\(y^2+y=x^3+x^2-1783x-29581\)	3.8.0-3.a.1.1, 154.2.0.?, 462.16.0.?	$[(-99/2, -1/2)]$
1925.e2	1925k1	1925.e	1925k	$2$	$3$	\( 5^{2} \cdot 7 \cdot 11 \)	\( 5^{4} \cdot 7^{3} \cdot 11 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$462$	$16$	$0$	$0.813838055$	$1$		$8$	$216$	$-0.087634$	$6553600/3773$	$1.06030$	$2.92664$	$[0, 1, 1, -33, -6]$	\(y^2+y=x^3+x^2-33x-6\)	3.8.0-3.a.1.2, 154.2.0.?, 462.16.0.?	$[(-6, 3)]$
1925.f1	1925a1	1925.f	1925a	$3$	$9$	\( 5^{2} \cdot 7 \cdot 11 \)	\( - 5^{6} \cdot 7^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$6930$	$144$	$3$	$0.493847592$	$1$		$4$	$720$	$0.509719$	$-78843215872/539$	$1.00604$	$4.59458$	$[0, -1, 1, -2233, 41368]$	\(y^2+y=x^3-x^2-2233x+41368\)	3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.2, 22.2.0.a.1, 45.24.0-9.a.1.1, $\ldots$	$[(28, 3)]$
1925.f2	1925a2	1925.f	1925a	$3$	$9$	\( 5^{2} \cdot 7 \cdot 11 \)	\( - 5^{6} \cdot 7^{6} \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$6930$	$144$	$3$	$1.481542777$	$1$		$4$	$2160$	$1.059025$	$-13278380032/156590819$	$1.06522$	$4.76397$	$[0, -1, 1, -1233, 77493]$	\(y^2+y=x^3-x^2-1233x+77493\)	3.12.0.a.1, 15.24.0-3.a.1.1, 22.2.0.a.1, 63.36.0.b.1, 66.24.1.b.1, $\ldots$	$[(-47, 171)]$
1925.f3	1925a3	1925.f	1925a	$3$	$9$	\( 5^{2} \cdot 7 \cdot 11 \)	\( - 5^{6} \cdot 7^{2} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$6930$	$144$	$3$	$4.444628332$	$1$		$2$	$6480$	$1.608332$	$9463555063808/115539436859$	$1.06593$	$5.62442$	$[0, -1, 1, 11017, -1998882]$	\(y^2+y=x^3-x^2+11017x-1998882\)	3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.1, 22.2.0.a.1, 45.24.0-9.a.1.2, $\ldots$	$[(128, 1221)]$
1925.g1	1925b2	1925.g	1925b	$2$	$3$	\( 5^{2} \cdot 7 \cdot 11 \)	\( 5^{10} \cdot 7 \cdot 11^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2310$	$16$	$0$	$10.09121805$	$1$		$0$	$3240$	$1.266390$	$1003555225600/9317$	$0.97185$	$5.78220$	$[0, -1, 1, -44583, -3608432]$	\(y^2+y=x^3-x^2-44583x-3608432\)	3.4.0.a.1, 15.8.0-3.a.1.1, 154.2.0.?, 462.8.0.?, 2310.16.0.?	$[(-203944/41, 137960/41)]$
1925.g2	1925b1	1925.g	1925b	$2$	$3$	\( 5^{2} \cdot 7 \cdot 11 \)	\( 5^{10} \cdot 7^{3} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2310$	$16$	$0$	$3.363739351$	$1$		$2$	$1080$	$0.717085$	$6553600/3773$	$1.06030$	$4.20352$	$[0, -1, 1, -833, 943]$	\(y^2+y=x^3-x^2-833x+943\)	3.4.0.a.1, 15.8.0-3.a.1.2, 154.2.0.?, 462.8.0.?, 2310.16.0.?	$[(1, 10)]$
1925.h1	1925d1	1925.h	1925d	$1$	$1$	\( 5^{2} \cdot 7 \cdot 11 \)	\( - 5^{6} \cdot 7^{2} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$1$	$1$		$0$	$560$	$0.018065$	$884736/539$	$1.02512$	$3.08749$	$[0, 0, 1, 50, 31]$	\(y^2+y=x^3+50x+31\)	22.2.0.a.1	$[ ]$
1925.i1	1925e4	1925.i	1925e	$4$	$4$	\( 5^{2} \cdot 7 \cdot 11 \)	\( 5^{8} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$6.707345671$	$1$		$0$	$6144$	$1.433628$	$119678115308998401/1925$	$1.06205$	$6.47657$	$[1, -1, 0, -256667, 50114116]$	\(y^2+xy=x^3-x^2-256667x+50114116\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.z.1, 88.12.0.?, $\ldots$	$[(20761/8, 405431/8)]$
1925.i2	1925e3	1925.i	1925e	$4$	$4$	\( 5^{2} \cdot 7 \cdot 11 \)	\( 5^{14} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1.676836417$	$1$		$4$	$6144$	$1.433628$	$37397086385121/10316796875$	$0.96169$	$5.40936$	$[1, -1, 0, -17417, 644366]$	\(y^2+xy=x^3-x^2-17417x+644366\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 44.12.0.h.1, 56.12.0.z.1, $\ldots$	$[(-86, 1268)]$
1925.i3	1925e2	1925.i	1925e	$4$	$4$	\( 5^{2} \cdot 7 \cdot 11 \)	\( 5^{10} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$1540$	$48$	$0$	$3.353672835$	$1$		$4$	$3072$	$1.087053$	$29220958012401/3705625$	$1.02662$	$5.37674$	$[1, -1, 0, -16042, 785991]$	\(y^2+xy=x^3-x^2-16042x+785991\)	2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0.b.1, 44.12.0.a.1, 140.24.0.?, $\ldots$	$[(174, 1713)]$
1925.i4	1925e1	1925.i	1925e	$4$	$4$	\( 5^{2} \cdot 7 \cdot 11 \)	\( - 5^{8} \cdot 7 \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1.676836417$	$1$		$3$	$1536$	$0.740480$	$-5461074081/2562175$	$0.88300$	$4.32006$	$[1, -1, 0, -917, 14616]$	\(y^2+xy=x^3-x^2-917x+14616\)	2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 20.12.0-4.c.1.2, 28.12.0.g.1, $\ldots$	$[(8, 84)]$
1925.j1	1925c2	1925.j	1925c	$2$	$2$	\( 5^{2} \cdot 7 \cdot 11 \)	\( 5^{10} \cdot 7^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$1.656060081$	$1$		$2$	$1536$	$0.660223$	$18420660721/336875$	$0.86183$	$4.40232$	$[1, 1, 0, -1375, 18750]$	\(y^2+xy=x^3+x^2-1375x+18750\)	2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.?	$[(30, 60)]$
1925.j2	1925c1	1925.j	1925c	$2$	$2$	\( 5^{2} \cdot 7 \cdot 11 \)	\( - 5^{8} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$3.312120162$	$1$		$1$	$768$	$0.313650$	$-1/21175$	$1.05851$	$3.57967$	$[1, 1, 0, 0, 875]$	\(y^2+xy=x^3+x^2+875\)	2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.?	$[(59/2, 469/2)]$
1925.k1	1925h2	1925.k	1925h	$2$	$2$	\( 5^{2} \cdot 7 \cdot 11 \)	\( 5^{3} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.840189956$	$1$		$2$	$832$	$0.354157$	$1968634623437/5929$	$1.03649$	$4.38160$	$[1, 1, 0, -1305, -18700]$	\(y^2+xy=x^3+x^2-1305x-18700\)	2.3.0.a.1, 10.6.0.a.1, 44.6.0.d.1, 220.12.0.?	$[(80, 590)]$
1925.k2	1925h1	1925.k	1925h	$2$	$2$	\( 5^{2} \cdot 7 \cdot 11 \)	\( - 5^{3} \cdot 7^{4} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$5.680379913$	$1$		$1$	$416$	$0.007583$	$-461889917/26411$	$0.98288$	$3.28896$	$[1, 1, 0, -80, -325]$	\(y^2+xy=x^3+x^2-80x-325\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[(565/4, 12055/4)]$
1925.l1	1925l2	1925.l	1925l	$2$	$2$	\( 5^{2} \cdot 7 \cdot 11 \)	\( 5^{9} \cdot 7^{2} \cdot 11^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$0$	$6720$	$1.482147$	$1409825840597/86806489$	$0.92643$	$5.61434$	$[1, 1, 0, -29200, 1803375]$	\(y^2+xy=x^3+x^2-29200x+1803375\)	2.3.0.a.1, 10.6.0.a.1, 44.6.0.d.1, 220.12.0.?	$[ ]$
1925.l2	1925l1	1925.l	1925l	$2$	$2$	\( 5^{2} \cdot 7 \cdot 11 \)	\( - 5^{9} \cdot 7^{4} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$3360$	$1.135572$	$163667323/3195731$	$0.91763$	$4.87749$	$[1, 1, 0, 1425, 119000]$	\(y^2+xy=x^3+x^2+1425x+119000\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[ ]$
1925.m1	1925j1	1925.m	1925j	$1$	$1$	\( 5^{2} \cdot 7 \cdot 11 \)	\( 5^{8} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$154$	$2$	$0$	$3.563430987$	$1$		$0$	$600$	$0.161350$	$552960/77$	$0.74478$	$3.45096$	$[0, 0, 1, -125, -469]$	\(y^2+y=x^3-125x-469\)	154.2.0.?	$[(-31/2, 43/2)]$

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