Cremona's table of elliptic curves

74704 = 2⁴ · 7 · 23 · 29

Class	r	Atkin-Lehner	Eigenvalues
74704a (2 curves)	2	2+ 7+ 23+ 29-	2+  0 -2 7+  0  0 -2 -4
Curve Equation t Generators 74704a1 [0,0,0,-131,-110] 2 [-3:16:1]&[-2:12:1] 74704a2 [0,0,0,-1291,17754] 2 [-41:42:1]&[-1:138:1]
74704b (2 curves)	0	2+ 7- 23+ 29+	2+  2  0 7-  4  6 -4 -4
Curve Equation t 74704b1 [0,-1,0,-20188,2230560] 2 74704b2 [0,-1,0,-407048,100028768] 2
74704c (1 curve)	1	2+ 7- 23- 29+	2+  0  0 7- -4  3  3 -3
Curve Equation t Generators 74704c1 [0,0,0,-860,9756] 1 [17:7:1]
74704d (2 curves)	1	2+ 7- 23- 29+	2+  0  2 7- -6  2 -4  2
Curve Equation t Generators 74704d1 [0,0,0,-7754,260615] 2 [-65:700:1] 74704d2 [0,0,0,-2119,631398] 2 [-3516:48825:64]
74704e (2 curves)	0	2+ 7- 23- 29-	2+  2  2 7- -2  2  6  4
Curve Equation t 74704e1 [0,-1,0,-92,-160] 2 74704e2 [0,-1,0,-672,6800] 2
74704f (2 curves)	0	2- 7+ 23+ 29+	2-  0  2 7+  2  2  0 -6
Curve Equation t 74704f1 [0,0,0,-633139,194296818] 2 74704f2 [0,0,0,-10135859,12420496370] 2
74704g (2 curves)	0	2- 7+ 23+ 29+	2-  0  2 7+ -4 -4  0  6
Curve Equation t 74704g1 [0,0,0,-825299,-288581998] 2 74704g2 [0,0,0,-13204819,-18469145070] 2
74704h (2 curves)	0	2- 7+ 23+ 29+	2-  2 -2 7+  0  2  0  6
Curve Equation t 74704h1 [0,-1,0,616,20720] 2 74704h2 [0,-1,0,-8664,287984] 2
74704i (1 curve)	0	2- 7+ 23+ 29+	2- -2  2 7+  4  1 -5  7
Curve Equation t 74704i1 [0,1,0,-42117,3312883] 1
74704j (1 curve)	1	2- 7+ 23- 29+	2-  1 -3 7+ -3 -7 -6  0
Curve Equation t Generators 74704j1 [0,1,0,-7232,-239884] 1 [188:-2254:1]
74704k (2 curves)	1	2- 7+ 23- 29+	2- -2 -2 7+ -4  2  0 -2
Curve Equation t Generators 74704k1 [0,1,0,-172853784,-879463116140] 2 [48540:10251790:1] 74704k2 [0,1,0,-2769778264,-56107736647404] 2 [8014220:-683052022:125]
74704l (1 curve)	1	2- 7+ 23- 29+	2- -2 -2 7+ -4  5 -3  7
Curve Equation t Generators 74704l1 [0,1,0,51,7] 1 [3:-14:1]
74704m (2 curves)	0	2- 7+ 23- 29-	2-  2 -2 7+  6 -2 -6  8
Curve Equation t 74704m1 [0,-1,0,-42224,-2637376] 2 74704m2 [0,-1,0,-636144,-195067456] 2
74704n (2 curves)	2	2- 7+ 23- 29-	2- -2 -2 7+  2 -2  2 -8
Curve Equation t Generators 74704n1 [0,1,0,-28544,1846516] 2 [100:46:1]&[106:152:1] 74704n2 [0,1,0,-30864,1526356] 2 [-174:1288:1]&[-36:1610:1]
74704o (2 curves)	1	2- 7- 23+ 29+	2-  0  0 7-  4 -4 -4  4
Curve Equation t Generators 74704o1 [0,0,0,925,-926] 2 [30:232:1] 74704o2 [0,0,0,-3715,-7422] 2 [62:24:1]
74704p (2 curves)	1	2- 7- 23+ 29+	2-  0  2 7-  2  2  0  2
Curve Equation t Generators 74704p1 [0,0,0,221,-2718] 2 [34:210:1] 74704p2 [0,0,0,-2099,-31950] 2 [-25:70:1]
74704q (2 curves)	1	2- 7- 23+ 29+	2-  2  0 7- -4 -2  4  0
Curve Equation t Generators 74704q1 [0,-1,0,1472,0] 2 [450:9570:1] 74704q2 [0,-1,0,-5888,5888] 2 [-15994:363930:1331]
74704r (2 curves)	2	2- 7- 23+ 29-	2-  0  2 7- -4  0 -6 -4
Curve Equation t Generators 74704r1 [0,0,0,-6318779,6113599210] 2 [1482:2030:1]&[1503:3430:1] 74704r2 [0,0,0,-6393019,5962580202] 2 [-1779:108192:1]&[1119:14490:1]
74704s (4 curves)	0	2- 7- 23+ 29-	2-  0  2 7- -4  6  6 -4
Curve Equation t 74704s1 [0,0,0,-720299,-237462822] 2 74704s2 [0,0,0,-11554219,-15116768550] 4 74704s3 [0,0,0,-11583659,-15035861542] 4 74704s4 [0,0,0,-184867499,-967473242150] 2
74704t (2 curves)	2	2- 7- 23+ 29-	2- -2 -2 7- -2 -4  2  0
Curve Equation t Generators 74704t1 [0,1,0,-137824,19383156] 2 [292:-2030:1]&[250:784:1] 74704t2 [0,1,0,-272384,-24806348] 2 [-462:1624:1]&[658:9016:1]
74704u (1 curve)	2	2- 7- 23+ 29-	2- -3 -1 7- -1  3  0 -4
Curve Equation t Generators 74704u1 [0,0,0,137,-254] 1 [6:28:1]&[10:46:1]

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