Cremona's table of elliptic curves

18096 = 2⁴ · 3 · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
18096a (2 curves)	1	2+ 3+ 13+ 29+	2+ 3+  0 -4 -4 13+ -2  2
Curve Equation t Generators 18096a1 [0,-1,0,-703,-6902] 2 [102:986:1] 18096a2 [0,-1,0,-268,-15776] 2 [810:7939:8]
18096b (1 curve)	1	2+ 3+ 13+ 29+	2+ 3+  2 -2  5 13+  3  2
Curve Equation t Generators 18096b1 [0,-1,0,608,-2912] 1 [66:566:1]
18096c (2 curves)	0	2+ 3+ 13+ 29-	2+ 3+  0  0  0 13+  2 -6
Curve Equation t 18096c1 [0,-1,0,1480452,-59280480] 2 18096c2 [0,-1,0,-5945408,-469187952] 2
18096d (2 curves)	2	2+ 3+ 13+ 29-	2+ 3+  0 -4  0 13+  2 -6
Curve Equation t Generators 18096d1 [0,-1,0,12,-96] 2 [5:8:1]&[20:88:1] 18096d2 [0,-1,0,-248,-1344] 2 [-10:6:1]&[-8:8:1]
18096e (1 curve)	0	2+ 3+ 13- 29+	2+ 3+ -1 -2 -4 13- -1  4
Curve Equation t 18096e1 [0,-1,0,-241,-1523] 1
18096f (2 curves)	0	2+ 3+ 13- 29+	2+ 3+  2  4  2 13-  2 -2
Curve Equation t 18096f1 [0,-1,0,-124547,16957302] 2 18096f2 [0,-1,0,-136292,13579440] 2
18096g (2 curves)	0	2+ 3+ 13- 29+	2+ 3+ -2  4  6 13- -6  6
Curve Equation t 18096g1 [0,-1,0,-7779,259434] 2 18096g2 [0,-1,0,-18764,-623760] 2
18096h (1 curve)	0	2+ 3+ 13- 29+	2+ 3+  3 -1 -2 13-  3 -3
Curve Equation t 18096h1 [0,-1,0,-384,-2784] 1
18096i (4 curves)	1	2+ 3+ 13- 29-	2+ 3+ -2  0  0 13-  2  0
Curve Equation t Generators 18096i1 [0,-1,0,-839,-8946] 2 [34:26:1] 18096i2 [0,-1,0,-1684,13024] 4 [9433:916110:1] 18096i3 [0,-1,0,-22744,1327168] 4 [-172:348:1] 18096i4 [0,-1,0,5856,91440] 2 [-3090:14545:216]
18096j (1 curve)	0	2+ 3- 13+ 29+	2+ 3-  0  4 -3 13+ -1 -6
Curve Equation t 18096j1 [0,1,0,-600408,-190647756] 1
18096k (2 curves)	0	2+ 3- 13+ 29+	2+ 3-  0 -4 -2 13+ -6  0
Curve Equation t 18096k1 [0,1,0,-122923,16544600] 2 18096k2 [0,1,0,-110308,20086892] 2
18096l (1 curve)	1	2+ 3- 13+ 29-	2+ 3- -2  2  5 13+  3 -2
Curve Equation t Generators 18096l1 [0,1,0,-1264,20852] 1 [4:126:1]
18096m (2 curves)	1	2+ 3- 13- 29+	2+ 3-  2  0  2 13- -6 -2
Curve Equation t Generators 18096m1 [0,1,0,-787,8240] 2 [20:30:1] 18096m2 [0,1,0,-852,6732] 2 [-6:108:1]
18096n (2 curves)	1	2+ 3- 13- 29+	2+ 3-  2 -4 -6 13-  2  6
Curve Equation t Generators 18096n1 [0,1,0,-787,-8608] 2 [-16:12:1] 18096n2 [0,1,0,-12532,-544180] 2 [143:780:1]
18096o (4 curves)	0	2+ 3- 13- 29-	2+ 3- -2  4  4 13- -6 -4
Curve Equation t 18096o1 [0,1,0,-319,1220] 2 18096o2 [0,1,0,-4524,115596] 4 18096o3 [0,1,0,-72384,7471620] 2 18096o4 [0,1,0,-3944,146916] 4
18096p (1 curve)	0	2+ 3- 13- 29-	2+ 3-  4  4  1 13- -3 -6
Curve Equation t 18096p1 [0,1,0,-696,-7308] 1
18096q (1 curve)	1	2- 3+ 13+ 29-	2- 3+  0  0 -3 13+ -5  6
Curve Equation t Generators 18096q1 [0,-1,0,-8,-144] 1 [10:26:1]
18096r (2 curves)	1	2- 3+ 13+ 29-	2- 3+  0  0  4 13+  2  6
Curve Equation t Generators 18096r1 [0,-1,0,-17985048,30414918384] 2 [5675512711969100:-206943952312467456:1441748095073] 18096r2 [0,-1,0,-290614808,1906980082416] 2 [4801203828:-8815792128:493039]
18096s (2 curves)	1	2- 3+ 13+ 29-	2- 3+ -2 -2  0 13+  6  0
Curve Equation t Generators 18096s1 [0,-1,0,-29,0] 2 [-4:6:1] 18096s2 [0,-1,0,116,-116] 2 [53:390:1]
18096t (1 curve)	1	2- 3+ 13+ 29-	2- 3+ -3  3 -2 13+  5 -3
Curve Equation t Generators 18096t1 [0,-1,0,408,-144] 1 [2:26:1]
18096u (4 curves)	1	2- 3+ 13- 29+	2- 3+  0 -2 -6 13-  6 -8
Curve Equation t Generators 18096u1 [0,-1,0,-993,-9432] 2 [84:702:1] 18096u2 [0,-1,0,-4908,125244] 2 [101:806:1] 18096u3 [0,-1,0,-24393,1473660] 2 [120:510:1] 18096u4 [0,-1,0,-390228,93956748] 2 [363890:95387:1000]
18096v (2 curves)	1	2- 3+ 13- 29+	2- 3+  0  4 -3 13- -3 -2
Curve Equation t Generators 18096v1 [0,-1,0,1352,-12944] 1 [18:130:1] 18096v2 [0,-1,0,-14248,855664] 1 [-6:970:1]
18096w (2 curves)	1	2- 3+ 13- 29+	2- 3+ -3 -2  0 13-  3  4
Curve Equation t Generators 18096w1 [0,-1,0,-117,1161] 1 [5:26:1] 18096w2 [0,-1,0,-12597,548409] 1 [65:2:1]
18096x (1 curve)	0	2- 3+ 13- 29-	2- 3+  1  2  4 13-  5 -4
Curve Equation t 18096x1 [0,-1,0,-85,349] 1
18096y (1 curve)	0	2- 3+ 13- 29-	2- 3+ -2  2  1 13- -7  2
Curve Equation t 18096y1 [0,-1,0,-4464,-129600] 1
18096z (4 curves)	0	2- 3+ 13- 29-	2- 3+ -2 -4  4 13-  2 -4
Curve Equation t 18096z1 [0,-1,0,-32024,100080] 2 18096z2 [0,-1,0,-359704,82937584] 4 18096z3 [0,-1,0,-5751064,5310400240] 4 18096z4 [0,-1,0,-211224,151832304] 2
18096ba (2 curves)	1	2- 3- 13+ 29+	2- 3-  0  0  4 13+  6 -2
Curve Equation t Generators 18096ba1 [0,1,0,192,-396] 2 [15:78:1] 18096ba2 [0,1,0,-848,-4140] 2 [-14:72:1]
18096bb (2 curves)	1	2- 3- 13+ 29+	2- 3-  2 -2  2 13+ -2  6
Curve Equation t Generators 18096bb1 [0,1,0,-3617,82518] 2 [142:1566:1] 18096bb2 [0,1,0,-3212,102120] 2 [-17:390:1]
18096bc (2 curves)	1	2- 3- 13+ 29+	2- 3- -4  4 -4 13+ -2 -6
Curve Equation t Generators 18096bc1 [0,1,0,-1080,-15276] 2 [1091:36036:1] 18096bc2 [0,1,0,-17720,-913836] 2 [166:864:1]
18096bd (2 curves)	0	2- 3- 13- 29+	2- 3-  0 -2 -2 13- -2  0
Curve Equation t 18096bd1 [0,1,0,-33,-54] 2 18096bd2 [0,1,0,-468,-4056] 2
18096be (1 curve)	0	2- 3- 13- 29+	2- 3- -1 -1 -2 13-  5 -1
Curve Equation t 18096be1 [0,1,0,-2776,492308] 1
18096bf (1 curve)	0	2- 3- 13- 29+	2- 3- -2  2 -3 13-  5  6
Curve Equation t 18096bf1 [0,1,0,-832304,-292553388] 1
18096bg (2 curves)	0	2- 3- 13- 29+	2- 3-  4  2  0 13-  2  6
Curve Equation t 18096bg1 [0,1,0,-8301,204102] 2 18096bg2 [0,1,0,-121836,16326072] 2
18096bh (1 curve)	1	2- 3- 13- 29-	2- 3-  1  3 -2 13- -1 -5
Curve Equation t Generators 18096bh1 [0,1,0,-13280,-708108] 1 [226:2808:1]
18096bi (6 curves)	1	2- 3- 13- 29-	2- 3- -2  0  4 13-  2  4
Curve Equation t Generators 18096bi1 [0,1,0,3536,52052] 2 [-572:9009:64] 18096bi2 [0,1,0,-16944,437076] 4 [-129:702:1] 18096bi3 [0,1,0,-128304,-17425068] 2 [25546:1434303:8] 18096bi4 [0,1,0,-233264,43268436] 8 [3199:179010:1] 18096bi5 [0,1,0,-3731824,2773544660] 4 [-1486:70992:1] 18096bi6 [0,1,0,-195824,57660372] 4 [399555:22395834:125]
18096bj (1 curve)	1	2- 3- 13- 29-	2- 3- -4 -4  1 13- -7  2
Curve Equation t Generators 18096bj1 [0,1,0,93320,83287124] 1 [-244:6786:1]

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