Cremona's table of elliptic curves

11424 = 2⁵ · 3 · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
11424a (4 curves)	1	2+ 3+ 7+ 17+	2+ 3+  2 7+  4  2 17+  4
Curve Equation t Generators 11424a1 [0,-1,0,-322,1960] 4 [-18:40:1] 11424a2 [0,-1,0,-1512,-20412] 2 [-1628:1965:64] 11424a3 [0,-1,0,-4912,134152] 2 [441:9140:1] 11424a4 [0,-1,0,623,10465] 2 [28068:588115:64]
11424b (2 curves)	1	2+ 3+ 7+ 17+	2+ 3+ -2 7+  2  0 17+ -6
Curve Equation t Generators 11424b1 [0,-1,0,-14,-336] 2 [40:248:1] 11424b2 [0,-1,0,-824,-8760] 2 [53:306:1]
11424c (4 curves)	0	2+ 3+ 7- 17+	2+ 3+  2 7-  0 -2 17+  8
Curve Equation t 11424c1 [0,-1,0,-82,280] 4 11424c2 [0,-1,0,-337,-2015] 2 11424c3 [0,-1,0,-1272,17892] 2 11424c4 [0,-1,0,128,1288] 2
11424d (1 curve)	0	2+ 3+ 7- 17+	2+ 3+ -3 7-  1 -1 17+  2
Curve Equation t 11424d1 [0,-1,0,128,-56] 1
11424e (2 curves)	1	2+ 3+ 7- 17-	2+ 3+  2 7- -2 -4 17-  2
Curve Equation t Generators 11424e1 [0,-1,0,1458,0] 2 [32:280:1] 11424e2 [0,-1,0,-5832,5832] 2 [-27:378:1]
11424f (1 curve)	1	2+ 3- 7+ 17-	2+ 3- -1 7+  5 -5 17- -2
Curve Equation t Generators 11424f1 [0,1,0,-154616,23349288] 1 [226:18:1]
11424g (2 curves)	1	2+ 3- 7+ 17-	2+ 3-  2 7+  2 -4 17- -2
Curve Equation t Generators 11424g1 [0,1,0,1458,0] 2 [18:180:1] 11424g2 [0,1,0,-5832,-5832] 2 [-18:306:1]
11424h (2 curves)	1	2+ 3- 7+ 17-	2+ 3-  2 7+ -4 -2 17- -2
Curve Equation t Generators 11424h1 [0,1,0,-22,20] 2 [10:30:1] 11424h2 [0,1,0,63,207] 2 [-1:12:1]
11424i (1 curve)	1	2+ 3- 7- 17+	2+ 3- -1 7- -5  1 17+  2
Curve Equation t Generators 11424i1 [0,1,0,-456,-4632] 1 [26:42:1]
11424j (2 curves)	1	2+ 3- 7- 17+	2+ 3- -2 7- -2  0 17+  6
Curve Equation t Generators 11424j1 [0,1,0,-14,336] 2 [1:18:1] 11424j2 [0,1,0,-824,8760] 2 [-2:102:1]
11424k (4 curves)	0	2+ 3- 7- 17-	2+ 3- -2 7- -4 -2 17-  4
Curve Equation t 11424k1 [0,1,0,-834,-9504] 4 11424k2 [0,1,0,-13329,-596769] 2 11424k3 [0,1,0,-1344,2940] 2 11424k4 [0,1,0,-344,-20088] 4
11424l (1 curve)	0	2- 3+ 7+ 17+	2- 3+ -1 7+  5  1 17+ -2
Curve Equation t 11424l1 [0,-1,0,-456,4632] 1
11424m (4 curves)	1	2- 3+ 7+ 17-	2- 3+ -2 7+  4 -2 17- -4
Curve Equation t Generators 11424m1 [0,-1,0,-834,9504] 4 [-16:136:1] 11424m2 [0,-1,0,-1344,-2940] 2 [-19:124:1] 11424m3 [0,-1,0,-13329,596769] 4 [131:1040:1] 11424m4 [0,-1,0,-344,20088] 2 [37:238:1]
11424n (4 curves)	1	2- 3+ 7- 17+	2- 3+ -2 7- -4  2 17+ -4
Curve Equation t Generators 11424n1 [0,-1,0,-34014,-2172456] 4 [260:2548:1] 11424n2 [0,-1,0,-529649,-148186527] 2 [-419:28:1] 11424n3 [0,-1,0,-126624,15015960] 2 [2458:17927:8] 11424n4 [0,-1,0,44016,-10755756] 4 [17818:844025:8]
11424o (1 curve)	0	2- 3+ 7- 17-	2- 3+ -1 7- -5 -5 17-  2
Curve Equation t 11424o1 [0,-1,0,-154616,-23349288] 1
11424p (2 curves)	0	2- 3+ 7- 17-	2- 3+  2 7-  4 -2 17-  2
Curve Equation t 11424p1 [0,-1,0,-22,-20] 2 11424p2 [0,-1,0,63,-207] 2
11424q (4 curves)	0	2- 3+ 7- 17-	2- 3+  2 7- -4 -2 17- -8
Curve Equation t 11424q1 [0,-1,0,-2742,-47880] 4 11424q2 [0,-1,0,-42432,-3350088] 2 11424q3 [0,-1,0,-11072,401940] 2 11424q4 [0,-1,0,4143,-255807] 4
11424r (4 curves)	1	2- 3- 7+ 17+	2- 3-  2 7+  0 -2 17+ -8
Curve Equation t Generators 11424r1 [0,1,0,-82,-280] 4 [185:2520:1] 11424r2 [0,1,0,-1272,-17892] 2 [23295:312552:125] 11424r3 [0,1,0,-337,2015] 2 [-5:60:1] 11424r4 [0,1,0,128,-1288] 2 [4989:68120:27]
11424s (4 curves)	1	2- 3- 7+ 17+	2- 3- -2 7+  4  2 17+  4
Curve Equation t Generators 11424s1 [0,1,0,-34014,2172456] 4 [150:684:1] 11424s2 [0,1,0,-126624,-15015960] 2 [1179:38418:1] 11424s3 [0,1,0,-529649,148186527] 4 [-551:16524:1] 11424s4 [0,1,0,44016,10755756] 2 [-534:21945:8]
11424t (1 curve)	1	2- 3- 7+ 17+	2- 3- -3 7+ -1 -1 17+ -2
Curve Equation t Generators 11424t1 [0,1,0,128,56] 1 [2:18:1]
11424u (4 curves)	0	2- 3- 7+ 17-	2- 3-  2 7+  4 -2 17-  8
Curve Equation t 11424u1 [0,1,0,-2742,47880] 4 11424u2 [0,1,0,-11072,-401940] 2 11424u3 [0,1,0,-42432,3350088] 4 11424u4 [0,1,0,4143,255807] 2
11424v (4 curves)	0	2- 3- 7- 17+	2- 3-  2 7- -4  2 17+ -4
Curve Equation t 11424v1 [0,1,0,-322,-1960] 4 11424v2 [0,1,0,-4912,-134152] 2 11424v3 [0,1,0,-1512,20412] 2 11424v4 [0,1,0,623,-10465] 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
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