Cremona's table of elliptic curves

34608 = 2⁴ · 3 · 7 · 103

Class	r	Atkin-Lehner	Eigenvalues
34608a (1 curve)	1	2+ 3+ 7- 103-	2+ 3+ -1 7-  4 -1  6  2
Curve Equation t Generators 34608a1 [0,-1,0,-11296,4123504] 1 [-10:2058:1]
34608b (2 curves)	1	2+ 3+ 7- 103-	2+ 3+  2 7-  4 -4  0  2
Curve Equation t Generators 34608b1 [0,-1,0,-232,-1280] 2 [24:80:1] 34608b2 [0,-1,0,-112,-2720] 2 [186:655:8]
34608c (1 curve)	1	2+ 3- 7+ 103-	2+ 3-  0 7+  5 -6 -2  5
Curve Equation t Generators 34608c1 [0,1,0,-1447608,670016052] 1 [636:2646:1]
34608d (2 curves)	1	2+ 3- 7+ 103-	2+ 3- -2 7+  2 -2  8 -8
Curve Equation t Generators 34608d1 [0,1,0,-204,-1044] 2 [-9:12:1] 34608d2 [0,1,0,336,-5148] 2 [18:84:1]
34608e (1 curve)	1	2+ 3- 7- 103+	2+ 3- -3 7-  0 -1  2  2
Curve Equation t Generators 34608e1 [0,1,0,128,164] 1 [8:-42:1]
34608f (2 curves)	0	2+ 3- 7- 103-	2+ 3-  2 7- -2  2  4  4
Curve Equation t 34608f1 [0,1,0,-11047,-552172] 2 34608f2 [0,1,0,-187692,-31359060] 2
34608g (4 curves)	0	2+ 3- 7- 103-	2+ 3- -2 7-  0  2  2  8
Curve Equation t 34608g1 [0,1,0,-175204,-28285444] 2 34608g2 [0,1,0,-175224,-28278684] 4 34608g3 [0,1,0,-146384,-37865100] 2 34608g4 [0,1,0,-204384,-18259308] 4
34608h (1 curve)	0	2+ 3- 7- 103-	2+ 3-  4 7-  3 -4  5  2
Curve Equation t 34608h1 [0,1,0,-1,107] 1
34608i (3 curves)	0	2- 3+ 7+ 103+	2- 3+  0 7+  3 -4  3 -2
Curve Equation t 34608i1 [0,-1,0,427,-11235] 1 34608i2 [0,-1,0,-3893,324861] 1 34608i3 [0,-1,0,-498293,135553149] 1
34608j (2 curves)	2	2- 3+ 7+ 103+	2- 3+ -2 7+  2  0 -6  2
Curve Equation t Generators 34608j1 [0,-1,0,-624,-576] 2 [-15:72:1]&[-6:54:1] 34608j2 [0,-1,0,-6384,197568] 2 [56:-112:1]&[-63:588:1]
34608k (2 curves)	0	2- 3+ 7+ 103+	2- 3+ -2 7+  2 -2  0  0
Curve Equation t 34608k1 [0,-1,0,-567824,-164352576] 2 34608k2 [0,-1,0,-429584,-246522432] 2
34608l (2 curves)	2	2- 3+ 7+ 103+	2- 3+ -2 7+ -6  2 -4  4
Curve Equation t Generators 34608l1 [0,-1,0,-224,1344] 2 [-16:24:1]&[2:30:1] 34608l2 [0,-1,0,16,3840] 2 [-14:26:1]&[-8:56:1]
34608m (1 curve)	0	2- 3+ 7+ 103+	2- 3+  4 7+ -1 -2  6 -3
Curve Equation t 34608m1 [0,-1,0,-2629256,1641858288] 1
34608n (1 curve)	0	2- 3+ 7+ 103+	2- 3+  4 7+  5  0 -3  2
Curve Equation t 34608n1 [0,-1,0,-1948661,1047667773] 1
34608o (4 curves)	1	2- 3+ 7+ 103-	2- 3+  2 7+  0 -2 -6  4
Curve Equation t Generators 34608o1 [0,-1,0,48,-4608] 2 [18:42:1] 34608o2 [0,-1,0,-3872,-89280] 4 [410:8190:1] 34608o3 [0,-1,0,-8912,196992] 4 [51530:1018654:125] 34608o4 [0,-1,0,-61552,-5857280] 2 [975754:16176510:2197]
34608p (2 curves)	1	2- 3+ 7+ 103-	2- 3+  2 7+ -6  0  2 -6
Curve Equation t Generators 34608p1 [0,-1,0,-11872,501760] 2 [80:240:1] 34608p2 [0,-1,0,-13312,373888] 2 [-24:824:1]
34608q (1 curve)	1	2- 3+ 7- 103+	2- 3+  0 7-  5  0 -3 -6
Curve Equation t Generators 34608q1 [0,-1,0,-133,-599] 1 [17:42:1]
34608r (2 curves)	1	2- 3+ 7- 103+	2- 3+ -4 7-  2 -2  6 -4
Curve Equation t Generators 34608r1 [0,-1,0,-1520,39936] 2 [50:-294:1] 34608r2 [0,-1,0,-28960,1905856] 2 [-6:1442:1]
34608s (1 curve)	0	2- 3+ 7- 103-	2- 3+ -3 7-  0  3 -6 -2
Curve Equation t 34608s1 [0,-1,0,-4352,-344064] 1
34608t (2 curves)	1	2- 3- 7+ 103+	2- 3- -2 7+  0  2  0  4
Curve Equation t Generators 34608t1 [0,1,0,-929,-11214] 2 [430:8904:1] 34608t2 [0,1,0,-964,-10360] 2 [-13:12:1]
34608u (2 curves)	1	2- 3- 7+ 103+	2- 3- -2 7+ -6 -4  6 -2
Curve Equation t Generators 34608u1 [0,1,0,-91276304,328471054356] 2 [2116:380538:1] 34608u2 [0,1,0,-1451765264,21290340754452] 2 [22114:29664:1]
34608v (1 curve)	1	2- 3- 7+ 103+	2- 3-  3 7+ -4 -1  0 -4
Curve Equation t Generators 34608v1 [0,1,0,-364,-53896] 1 [95:882:1]
34608w (1 curve)	1	2- 3- 7+ 103+	2- 3-  3 7+ -4 -1 -2  6
Curve Equation t Generators 34608w1 [0,1,0,-624,5844] 1 [20:42:1]
34608x (2 curves)	0	2- 3- 7+ 103-	2- 3-  0 7+  2 -2  6  4
Curve Equation t 34608x1 [0,1,0,15472,-1313004] 2 34608x2 [0,1,0,-127888,-14674156] 2
34608y (2 curves)	0	2- 3- 7- 103+	2- 3-  0 7- -2 -2 -2  4
Curve Equation t 34608y1 [0,1,0,-288,-10764] 2 34608y2 [0,1,0,-9248,-344076] 2
34608z (4 curves)	0	2- 3- 7- 103+	2- 3-  2 7-  0  2 -2  8
Curve Equation t 34608z1 [0,1,0,-432,1620] 2 34608z2 [0,1,0,-3312,-73260] 4 34608z3 [0,1,0,48,-211692] 2 34608z4 [0,1,0,-52752,-4681068] 2
34608ba (2 curves)	0	2- 3- 7- 103+	2- 3- -2 7-  4  0  8 -2
Curve Equation t 34608ba1 [0,1,0,-2418624,-1433372364] 2 34608ba2 [0,1,0,-452544,-3694364364] 2
34608bb (2 curves)	2	2- 3- 7- 103+	2- 3- -2 7- -4 -4 -4 -6
Curve Equation t Generators 34608bb1 [0,1,0,-9184,-191884] 2 [-76:270:1]&[-70:336:1] 34608bb2 [0,1,0,29696,-1358284] 2 [50:504:1]&[146:-2472:1]
34608bc (1 curve)	0	2- 3- 7- 103+	2- 3-  3 7-  4 -5 -2 -2
Curve Equation t 34608bc1 [0,1,0,-15982064,-24863185452] 1
34608bd (2 curves)	0	2- 3- 7- 103+	2- 3- -4 7-  2  2  0  4
Curve Equation t 34608bd1 [0,1,0,-24745,1491854] 2 34608bd2 [0,1,0,-396060,95805864] 2
34608be (1 curve)	0	2- 3- 7- 103+	2- 3- -4 7- -3  2 -2  5
Curve Equation t 34608be1 [0,1,0,54560,14577524] 1
34608bf (1 curve)	1	2- 3- 7- 103-	2- 3-  0 7- -3  2 -2  1
Curve Equation t Generators 34608bf1 [0,1,0,-2248,-79756] 1 [110:-1008:1]
34608bg (2 curves)	1	2- 3- 7- 103-	2- 3-  2 7-  0  2  0 -4
Curve Equation t Generators 34608bg1 [0,1,0,-217,-490] 2 [966:5320:27] 34608bg2 [0,1,0,-1932,31752] 2 [-21:252:1]

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