Cremona's table of elliptic curves

33456 = 2⁴ · 3 · 17 · 41

Class	r	Atkin-Lehner	Eigenvalues
33456a (4 curves)	1	2+ 3+ 17+ 41+	2+ 3+  2  0  4 -2 17+  0
Curve Equation t Generators 33456a1 [0,-1,0,273,558] 2 [865030:71955104:125] 33456a2 [0,-1,0,-1172,5760] 4 [620:832:125] 33456a3 [0,-1,0,-10352,-398160] 2 [113377552:18862526215:4096] 33456a4 [0,-1,0,-15112,719488] 2 [48:320:1]
33456b (1 curve)	0	2+ 3+ 17- 41+	2+ 3+  3 -5  0  4 17-  2
Curve Equation t 33456b1 [0,-1,0,-1059,13626] 1
33456c (1 curve)	0	2+ 3+ 17- 41+	2+ 3+ -3 -3  6  2 17-  0
Curve Equation t 33456c1 [0,-1,0,-98112,18789264] 1
33456d (1 curve)	1	2+ 3+ 17- 41-	2+ 3+  1 -1  0 -4 17- -6
Curve Equation t Generators 33456d1 [0,-1,0,-8620,332368] 1 [48:164:1]
33456e (2 curves)	1	2+ 3+ 17- 41-	2+ 3+  4  0 -4  4 17-  6
Curve Equation t Generators 33456e1 [0,-1,0,-2176,-24752] 2 [252:3920:1] 33456e2 [0,-1,0,-31336,-2124272] 2 [322:4590:1]
33456f (2 curves)	2	2+ 3- 17+ 41+	2+ 3-  0 -4 -4  0 17+ -4
Curve Equation t Generators 33456f1 [0,1,0,-2088,36036] 2 [24:18:1]&[-24:270:1] 33456f2 [0,1,0,-2048,37524] 2 [-50:132:1]&[-12:246:1]
33456g (4 curves)	0	2+ 3- 17+ 41+	2+ 3- -2  0  4 -6 17+  8
Curve Equation t 33456g1 [0,1,0,-244,-1540] 2 33456g2 [0,1,0,-424,836] 4 33456g3 [0,1,0,1616,8180] 2 33456g4 [0,1,0,-5344,148436] 2
33456h (1 curve)	2	2+ 3- 17+ 41+	2+ 3- -3 -1  2 -6 17+ -4
Curve Equation t Generators 33456h1 [0,1,0,100328,-2401564] 1 [32:918:1]&[626:-17496:1]
33456i (1 curve)	1	2+ 3- 17+ 41-	2+ 3-  1 -3  0 -4 17+  2
Curve Equation t Generators 33456i1 [0,1,0,20,-4] 1 [10:36:1]
33456j (1 curve)	1	2+ 3- 17+ 41-	2+ 3- -3  1  0  0 17+  2
Curve Equation t Generators 33456j1 [0,1,0,-1195652,-508022964] 1 [1426:26244:1]
33456k (1 curve)	2	2+ 3- 17- 41-	2+ 3- -1 -1 -6 -6 17-  4
Curve Equation t Generators 33456k1 [0,1,0,-136,836] 1 [8:18:1]&[-10:36:1]
33456l (2 curves)	2	2- 3+ 17+ 41+	2- 3+ -2 -4  0  2 17+ -2
Curve Equation t Generators 33456l1 [0,-1,0,-184,688] 2 [-14:18:1]&[-12:32:1] 33456l2 [0,-1,0,536,4144] 2 [-6:26:1]&[10:-102:1]
33456m (2 curves)	0	2- 3+ 17+ 41+	2- 3+ -3  1  0  2 17+ -2
Curve Equation t 33456m1 [0,-1,0,103,-624] 1 33456m2 [0,-1,0,-977,22164] 1
33456n (2 curves)	1	2- 3+ 17+ 41-	2- 3+  3  1 -6  2 17+  4
Curve Equation t Generators 33456n1 [0,-1,0,31792576,-5179229184] 1 [738938720:78053629952:148877] 33456n2 [0,-1,0,-415966784,3547762953216] 1 [11170360497516315680:540350220952497408896:997152706642625]
33456o (2 curves)	2	2- 3+ 17- 41-	2- 3+  2 -4  0 -6 17- -6
Curve Equation t Generators 33456o1 [0,-1,0,-66712,6653488] 2 [-252:2720:1]&[-14:2754:1] 33456o2 [0,-1,0,-60232,7990960] 2 [-6:-2890:1]&[-23:3060:1]
33456p (2 curves)	1	2- 3- 17+ 41+	2- 3-  0  2  0 -2 17+ -4
Curve Equation t Generators 33456p1 [0,1,0,-85048,9516116] 2 [164:78:1] 33456p2 [0,1,0,-74808,11904084] 2 [-282:3264:1]
33456q (1 curve)	1	2- 3- 17+ 41+	2- 3-  1  3 -2  2 17+  0
Curve Equation t Generators 33456q1 [0,1,0,-6840,215892] 1 [102:768:1]
33456r (1 curve)	1	2- 3- 17+ 41+	2- 3-  1  3 -2 -2 17+  8
Curve Equation t Generators 33456r1 [0,1,0,-2080,-247564] 1 [74:96:1]
33456s (1 curve)	1	2- 3- 17+ 41+	2- 3- -3 -1  0 -2 17+  2
Curve Equation t Generators 33456s1 [0,1,0,-7377,241446] 1 [62:162:1]
33456t (2 curves)	1	2- 3- 17+ 41+	2- 3- -4  4  4 -4 17+  8
Curve Equation t Generators 33456t1 [0,1,0,-1920,-32076] 2 [59:252:1] 33456t2 [0,1,0,640,-108876] 2 [84:738:1]
33456u (2 curves)	1	2- 3- 17- 41-	2- 3-  0  0  4  0 17- -2
Curve Equation t Generators 33456u1 [0,1,0,-328,1652] 2 [-4:54:1] 33456u2 [0,1,0,-1768,-27724] 2 [-20:6:1]
33456v (1 curve)	1	2- 3- 17- 41-	2- 3- -1  3 -4  2 17- -6
Curve Equation t Generators 33456v1 [0,1,0,-1,26] 1 [2:6:1]
33456w (4 curves)	1	2- 3- 17- 41-	2- 3-  2  0 -4  2 17-  0
Curve Equation t Generators 33456w1 [0,1,0,-169392,-26890668] 2 [987:27720:1] 33456w2 [0,1,0,-169712,-26784300] 4 [628:10710:1] 33456w3 [0,1,0,-58192,-61355500] 2 [75220:1380078:125] 33456w4 [0,1,0,-286352,14599572] 4 [-518:4920:1]
33456x (1 curve)	1	2- 3- 17- 41-	2- 3-  3  3 -2 -6 17- -8
Curve Equation t Generators 33456x1 [0,1,0,-2584,-1155436] 1 [41387290:14376566784:343]

Data from Elliptic Curve Data by J. E. Cremona.
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