Cremona's table of elliptic curves

12880 = 2⁴ · 5 · 7 · 23

Class	r	Atkin-Lehner	Eigenvalues
12880a (1 curve)	1	2+ 5+ 7+ 23+	2+ -1 5+ 7+  3  3  3  0
Curve Equation t Generators 12880a1 [0,-1,0,-201,1285] 1 [4:23:1]
12880b (4 curves)	0	2+ 5+ 7- 23+	2+  0 5+ 7-  0  2 -2 -4
Curve Equation t 12880b1 [0,0,0,22,-93] 2 12880b2 [0,0,0,-223,-1122] 4 12880b3 [0,0,0,-3443,-77758] 2 12880b4 [0,0,0,-923,9658] 2
12880c (1 curve)	0	2+ 5+ 7- 23+	2+  1 5+ 7-  2 -5 -6  6
Curve Equation t 12880c1 [0,1,0,-936,-11365] 1
12880d (2 curves)	0	2+ 5+ 7- 23+	2+  2 5+ 7-  6  4  2  4
Curve Equation t 12880d1 [0,-1,0,-4296,68096] 2 12880d2 [0,-1,0,-29296,-1871904] 2
12880e (1 curve)	1	2+ 5+ 7- 23-	2+  1 5+ 7- -2 -1  4 -2
Curve Equation t Generators 12880e1 [0,1,0,-3276,71099] 1 [49:175:1]
12880f (1 curve)	0	2+ 5- 7+ 23+	2+  1 5- 7+  2 -1 -2  2
Curve Equation t 12880f1 [0,1,0,-180,-1897] 1
12880g (1 curve)	1	2+ 5- 7- 23+	2+  1 5- 7- -1  5 -7  4
Curve Equation t Generators 12880g1 [0,1,0,-2071545,1146907475] 1 [910:4025:1]
12880h (1 curve)	1	2+ 5- 7- 23+	2+  1 5- 7-  2  3 -6 -6
Curve Equation t Generators 12880h1 [0,1,0,160,275] 1 [5:35:1]
12880i (2 curves)	1	2+ 5- 7- 23+	2+ -2 5- 7-  2 -4  2 -8
Curve Equation t Generators 12880i1 [0,1,0,-120,100] 2 [-10:20:1] 12880i2 [0,1,0,-1120,-14700] 2 [-20:10:1]
12880j (2 curves)	0	2+ 5- 7- 23-	2+  0 5- 7- -2 -4  6  0
Curve Equation t 12880j1 [0,0,0,-47,-114] 2 12880j2 [0,0,0,53,-534] 2
12880k (2 curves)	0	2+ 5- 7- 23-	2+  2 5- 7-  0  2 -2  4
Curve Equation t 12880k1 [0,-1,0,-40,0] 2 12880k2 [0,-1,0,160,-160] 2
12880l (4 curves)	0	2- 5+ 7+ 23+	2-  2 5+ 7+  6 -4  6 -8
Curve Equation t 12880l1 [0,-1,0,-29456,-1927744] 2 12880l2 [0,-1,0,-45456,414656] 2 12880l3 [0,-1,0,-169296,25469120] 2 12880l4 [0,-1,0,-2669296,1679469120] 2
12880m (4 curves)	1	2- 5+ 7+ 23-	2-  0 5+ 7+  0 -6 -2  4
Curve Equation t Generators 12880m1 [0,0,0,-4763,63562] 2 [111:950:1] 12880m2 [0,0,0,-36763,-2669238] 4 [239:1482:1] 12880m3 [0,0,0,-585563,-172467958] 2 [171093:13515346:27] 12880m4 [0,0,0,37,-7769718] 2 [477243:3465714:2197]
12880n (4 curves)	1	2- 5+ 7+ 23-	2-  2 5+ 7+  0  2 -6  4
Curve Equation t Generators 12880n1 [0,-1,0,-2416,-43584] 2 [138:1494:1] 12880n2 [0,-1,0,784,-153664] 2 [97722:1115686:729] 12880n3 [0,-1,0,-27056,1707200] 2 [106:138:1] 12880n4 [0,-1,0,-7056,4155200] 2 [1274:45402:1]
12880o (2 curves)	1	2- 5+ 7- 23+	2-  0 5+ 7-  2  0  2  0
Curve Equation t Generators 12880o1 [0,0,0,-21563,-402838] 2 [319:5018:1] 12880o2 [0,0,0,80837,-3126678] 2 [567723:13000866:2197]
12880p (2 curves)	1	2- 5+ 7- 23+	2-  0 5+ 7- -2  4 -6  8
Curve Equation t Generators 12880p1 [0,0,0,-2603,51098] 2 [-11:280:1] 12880p2 [0,0,0,-2203,67338] 2 [-9:294:1]
12880q (4 curves)	1	2- 5+ 7- 23+	2-  0 5+ 7-  4 -2  6 -4
Curve Equation t Generators 12880q1 [0,0,0,37,-150838] 2 [61:280:1] 12880q2 [0,0,0,-42283,-3290982] 4 [-113:210:1] 12880q3 [0,0,0,-673403,-212696598] 2 [34077:831250:27] 12880q4 [0,0,0,-88283,5145418] 4 [402:7315:8]
12880r (1 curve)	1	2- 5+ 7- 23+	2- -3 5+ 7-  1  7  3  8
Curve Equation t Generators 12880r1 [0,0,0,-208,-3152] 1 [33:161:1]
12880s (2 curves)	0	2- 5+ 7- 23-	2-  0 5+ 7-  0  4  4  2
Curve Equation t 12880s1 [0,0,0,-14243,887458] 2 12880s2 [0,0,0,-249763,48038562] 2
12880t (1 curve)	0	2- 5+ 7- 23-	2-  1 5+ 7-  5  3 -5  0
Curve Equation t 12880t1 [0,1,0,368059,-153520141] 1
12880u (1 curve)	0	2- 5+ 7- 23-	2-  3 5+ 7-  6 -5 -2  2
Curve Equation t 12880u1 [0,0,0,-13,-37] 1
12880v (1 curve)	1	2- 5- 7+ 23+	2- -1 5- 7+  2 -1 -8 -2
Curve Equation t Generators 12880v1 [0,-1,0,102230,-8114725] 1 [265:6125:1]
12880w (2 curves)	1	2- 5- 7+ 23+	2-  2 5- 7+  2 -4 -2  4
Curve Equation t Generators 12880w1 [0,-1,0,-145920,-20512768] 2 [1922:82434:1] 12880w2 [0,-1,0,-401920,71442432] 2 [-576:10560:1]
12880x (2 curves)	0	2- 5- 7+ 23-	2- -1 5- 7+  6 -1  6 -2
Curve Equation t 12880x1 [0,-1,0,-2632810,-1643408833] 1 12880x2 [0,-1,0,-2606310,-1678138133] 1
12880y (4 curves)	1	2- 5- 7- 23-	2-  0 5- 7-  4 -2 -6  4
Curve Equation t Generators 12880y1 [0,0,0,-587,3834] 2 [5:32:1] 12880y2 [0,0,0,-8587,306234] 4 [-27:720:1] 12880y3 [0,0,0,-137387,19600474] 2 [295:2178:1] 12880y4 [0,0,0,-7787,365594] 4 [-25:738:1]
12880z (1 curve)	1	2- 5- 7- 23-	2-  1 5- 7- -5  1 -3  4
Curve Equation t Generators 12880z1 [0,1,0,2995,-65497] 1 [131:1610:1]

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