Cremona's table of elliptic curves

56672 = 2⁵ · 7 · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
56672a (1 curve)	2	2+ 7+ 11+ 23-	2+ -1  0 7+ 11+ -4  6 -4
Curve Equation t Generators 56672a1 [0,-1,0,-8,-44] 1 [5:4:1]&[12:38:1]
56672b (1 curve)	2	2+ 7+ 11+ 23-	2+ -1 -3 7+ 11+ -1  0 -1
Curve Equation t Generators 56672b1 [0,-1,0,-2573537,1589929969] 1 [25059:2116:27]&[257:30748:1]
56672c (2 curves)	2	2+ 7+ 11+ 23-	2+ -2 -4 7+ 11+  2 -2 -4
Curve Equation t Generators 56672c1 [0,1,0,-110,-476] 2 [-6:2:1]&[42:266:1] 56672c2 [0,1,0,-225,559] 2 [-15:28:1]&[-9:44:1]
56672d (1 curve)	2	2+ 7+ 11- 23+	2+  1  1 7+ 11- -7 -4 -5
Curve Equation t Generators 56672d1 [0,1,0,-225,-1009] 1 [-11:16:1]&[-5:4:1]
56672e (1 curve)	2	2+ 7+ 11- 23+	2+  1 -2 7+ 11- -4 -4  4
Curve Equation t Generators 56672e1 [0,1,0,-110824,14169880] 1 [63:2728:1]&[294:2662:1]
56672f (2 curves)	2	2+ 7+ 11- 23+	2+ -2 -2 7+ 11-  2  2 -2
Curve Equation t Generators 56672f1 [0,1,0,-54,1792] 2 [-6:44:1]&[-3:44:1] 56672f2 [0,1,0,-2584,49356] 2 [31:2:1]&[43:140:1]
56672g (1 curve)	0	2+ 7+ 11- 23+	2+  3 -3 7+ 11- -5 -8  7
Curve Equation t 56672g1 [0,0,0,-8284,250784] 1
56672h (2 curves)	1	2+ 7+ 11- 23-	2+  0  0 7+ 11- -6 -8  2
Curve Equation t Generators 56672h1 [0,0,0,-194885,-248156956] 2 [3008:162426:1] 56672h2 [0,0,0,-7235875,-7453906122] 2 [97914:-3194378:27]
56672i (1 curve)	1	2+ 7+ 11- 23-	2+  0 -3 7+ 11- -6 -2  2
Curve Equation t Generators 56672i1 [0,0,0,-584,5616] 1 [20:44:1]
56672j (1 curve)	1	2+ 7- 11+ 23-	2+ -1  1 7- 11+ -7 -4  5
Curve Equation t Generators 56672j1 [0,-1,0,-225,1009] 1 [1:-28:1]
56672k (1 curve)	1	2+ 7- 11+ 23-	2+ -1 -1 7- 11+ -5  0 -7
Curve Equation t Generators 56672k1 [0,-1,0,-4401,-109823] 1 [-41:4:1]
56672l (1 curve)	1	2+ 7- 11+ 23-	2+ -1 -2 7- 11+ -4 -4 -4
Curve Equation t Generators 56672l1 [0,-1,0,-110824,-14169880] 1 [3146:13643:8]
56672m (2 curves)	1	2+ 7- 11+ 23-	2+  2  2 7- 11+  0  0  8
Curve Equation t Generators 56672m1 [0,-1,0,-1482,47432] 2 [158:1932:1] 56672m2 [0,-1,0,-30577,2066625] 2 [666:2415:8]
56672n (2 curves)	1	2+ 7- 11+ 23-	2+  2 -2 7- 11+  2  2  2
Curve Equation t Generators 56672n1 [0,-1,0,-54,-1792] 2 [32:168:1] 56672n2 [0,-1,0,-2584,-49356] 2 [1623:2548:27]
56672o (2 curves)	1	2+ 7- 11+ 23-	2+  2 -4 7- 11+ -2  6 -4
Curve Equation t Generators 56672o1 [0,-1,0,-246510,47190836] 2 [494:6762:1] 56672o2 [0,-1,0,-246625,47144721] 2 [309:588:1]
56672p (1 curve)	1	2+ 7- 11- 23+	2+  1  0 7- 11- -4  6  4
Curve Equation t Generators 56672p1 [0,1,0,-8,44] 1 [10:49:8]
56672q (1 curve)	1	2+ 7- 11- 23+	2+  1 -3 7- 11- -1  0  1
Curve Equation t Generators 56672q1 [0,1,0,-2573537,-1589929969] 1 [-331761203:6471332:357911]
56672r (1 curve)	1	2- 7+ 11+ 23-	2-  1  2 7+ 11+ -4 -8  4
Curve Equation t Generators 56672r1 [0,1,0,2848,-92212] 1 [14881786474:42613325603:547343432]
56672s (2 curves)	1	2- 7+ 11+ 23-	2- -2 -4 7+ 11+  2  4  4
Curve Equation t Generators 56672s1 [0,1,0,-111790,14548104] 2 [188:460:1] 56672s2 [0,1,0,-1795505,925437919] 2 [823:2420:1]
56672t (1 curve)	1	2- 7+ 11- 23+	2-  1 -1 7+ 11- -5  0  7
Curve Equation t Generators 56672t1 [0,1,0,-4401,109823] 1 [43:44:1]
56672u (2 curves)	1	2- 7+ 11- 23+	2- -2  2 7+ 11-  0  0 -8
Curve Equation t Generators 56672u1 [0,1,0,-1482,-47432] 2 [40998:1597580:27] 56672u2 [0,1,0,-30577,-2066625] 2 [6075:473340:1]
56672v (2 curves)	1	2- 7+ 11- 23+	2- -2 -4 7+ 11- -2  6  4
Curve Equation t Generators 56672v1 [0,1,0,-246510,-47190836] 2 [-3055896580:-3745109:10648000] 56672v2 [0,1,0,-246625,-47144721] 2 [-34855:18392:125]
56672w (4 curves)	0	2- 7+ 11- 23-	2-  0  2 7+ 11- -2 -6  4
Curve Equation t 56672w1 [0,0,0,-4129,87600] 4 56672w2 [0,0,0,7141,482050] 2 56672w3 [0,0,0,-18044,-847488] 2 56672w4 [0,0,0,-63419,6147038] 4
56672x (2 curves)	1	2- 7- 11+ 23+	2-  0  0 7- 11+ -6 -8 -2
Curve Equation t Generators 56672x1 [0,0,0,-194885,248156956] 2 [327:14812:1] 56672x2 [0,0,0,-7235875,7453906122] 2 [1658:3822:1]
56672y (4 curves)	1	2- 7- 11+ 23+	2-  0  2 7- 11+ -2 -6 -4
Curve Equation t Generators 56672y1 [0,0,0,-4129,-87600] 4 [5127:367080:1] 56672y2 [0,0,0,7141,-482050] 2 [328100:-23495115:64] 56672y3 [0,0,0,-18044,847488] 4 [-16:1064:1] 56672y4 [0,0,0,-63419,-6147038] 2 [35182186:-2516632860:6859]
56672z (1 curve)	1	2- 7- 11+ 23+	2-  0 -3 7- 11+ -6 -2 -2
Curve Equation t Generators 56672z1 [0,0,0,-584,-5616] 1 [32:92:1]
56672ba (1 curve)	2	2- 7- 11+ 23-	2- -3 -3 7- 11+ -5 -8 -7
Curve Equation t Generators 56672ba1 [0,0,0,-8284,-250784] 1 [118:-644:1]&[-66:92:1]
56672bb (1 curve)	2	2- 7- 11- 23+	2- -1  2 7- 11- -4 -8 -4
Curve Equation t Generators 56672bb1 [0,-1,0,2848,92212] 1 [36:490:1]&[113:1358:1]
56672bc (2 curves)	0	2- 7- 11- 23+	2-  2 -4 7- 11-  2 -2  4
Curve Equation t 56672bc1 [0,-1,0,-110,476] 2 56672bc2 [0,-1,0,-225,-559] 2
56672bd (2 curves)	0	2- 7- 11- 23+	2-  2 -4 7- 11-  2  4 -4
Curve Equation t 56672bd1 [0,-1,0,-111790,-14548104] 2 56672bd2 [0,-1,0,-1795505,-925437919] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations