Cremona's table of elliptic curves

13110 = 2 · 3 · 5 · 19 · 23

Class	r	Atkin-Lehner	Eigenvalues
13110a (2 curves)	1	2+ 3+ 5+ 19+ 23+	2+ 3+ 5+ -2  2  6  0 19+
Curve Equation t Generators 13110a1 [1,1,0,2867,-74327] 2 [24:83:1] 13110a2 [1,1,0,-19003,-769793] 2 [-51:290:1]
13110b (1 curve)	0	2+ 3+ 5+ 19+ 23-	2+ 3+ 5+  2 -1  5 -3 19+
Curve Equation t 13110b1 [1,1,0,-3355173,-3517836723] 1
13110c (1 curve)	0	2+ 3+ 5+ 19- 23+	2+ 3+ 5+ -2 -3  1 -3 19-
Curve Equation t 13110c1 [1,1,0,4234516837,-2817032373603] 1
13110d (1 curve)	0	2+ 3+ 5- 19+ 23+	2+ 3+ 5- -2 -5  5  7 19+
Curve Equation t 13110d1 [1,1,0,-652,-370544] 1
13110e (2 curves)	0	2+ 3+ 5- 19+ 23+	2+ 3+ 5- -4  2 -2  6 19+
Curve Equation t 13110e1 [1,1,0,-557,-3939] 2 13110e2 [1,1,0,-8237,-291171] 2
13110f (2 curves)	0	2+ 3+ 5- 19+ 23+	2+ 3+ 5- -4  2  4 -6 19+
Curve Equation t 13110f1 [1,1,0,-511410982,4455437366164] 2 13110f2 [1,1,0,-8184711462,285002045535636] 2
13110g (4 curves)	1	2+ 3+ 5- 19- 23+	2+ 3+ 5-  0  0  2 -6 19-
Curve Equation t Generators 13110g1 [1,1,0,-57,-171] 2 [-5:7:1] 13110g2 [1,1,0,-237,1161] 4 [-13:54:1] 13110g3 [1,1,0,-3687,84651] 2 [35:-14:1] 13110g4 [1,1,0,333,6519] 2 [-7:66:1]
13110h (2 curves)	1	2+ 3+ 5- 19- 23+	2+ 3+ 5-  2 -2  0  6 19-
Curve Equation t Generators 13110h1 [1,1,0,-35152,7696384] 2 [675:16753:1] 13110h2 [1,1,0,-839232,295074576] 2 [572:1324:1]
13110i (1 curve)	1	2+ 3+ 5- 19- 23+	2+ 3+ 5- -2 -4 -5  3 19-
Curve Equation t Generators 13110i1 [1,1,0,503,3781] 1 [-3:49:1]
13110j (1 curve)	0	2+ 3- 5+ 19+ 23+	2+ 3- 5+ -2  0  5  7 19+
Curve Equation t 13110j1 [1,0,1,-289,9236] 1
13110k (4 curves)	1	2+ 3- 5+ 19+ 23-	2+ 3- 5+  0 -4  2 -2 19+
Curve Equation t Generators 13110k1 [1,0,1,-3689,85916] 2 [36:-8:1] 13110k2 [1,0,1,-3709,84932] 4 [1:284:1] 13110k3 [1,0,1,-8079,-154544] 2 [-22:123:1] 13110k4 [1,0,1,341,261512] 2 [28:527:1]
13110l (4 curves)	1	2+ 3- 5+ 19+ 23-	2+ 3- 5+ -4  4 -6  6 19+
Curve Equation t Generators 13110l1 [1,0,1,341,-8554] 2 [552:1982:27] 13110l2 [1,0,1,-4779,-117098] 4 [98:549:1] 13110l3 [1,0,1,-74699,-7864234] 2 [834:22168:1] 13110l4 [1,0,1,-16779,703702] 2 [46:149:1]
13110m (4 curves)	1	2+ 3- 5+ 19- 23+	2+ 3- 5+  2  0  2 -6 19-
Curve Equation t Generators 13110m1 [1,0,1,-53914,24289112] 6 [-305:3671:1] 13110m2 [1,0,1,-1631484,799191496] 6 [6554:517917:1] 13110m3 [1,0,1,482171,-633126544] 2 [51950:4179481:8] 13110m4 [1,0,1,-8764749,-9373315328] 2 [2336372570:169291893891:343000]
13110n (2 curves)	0	2+ 3- 5+ 19- 23-	2+ 3- 5+ -1  3  5  0 19-
Curve Equation t 13110n1 [1,0,1,191,356] 3 13110n2 [1,0,1,-2224,-46978] 1
13110o (1 curve)	0	2+ 3- 5+ 19- 23-	2+ 3- 5+ -2  0  1  1 19-
Curve Equation t 13110o1 [1,0,1,9611,567619712] 1
13110p (2 curves)	0	2+ 3- 5+ 19- 23-	2+ 3- 5+  4  6 -2 -2 19-
Curve Equation t 13110p1 [1,0,1,-54,136] 2 13110p2 [1,0,1,-174,-728] 2
13110q (1 curve)	1	2+ 3- 5- 19+ 23+	2+ 3- 5-  0 -2  1  7 19+
Curve Equation t Generators 13110q1 [1,0,1,17,56] 1 [0:7:1]
13110r (2 curves)	1	2+ 3- 5- 19+ 23+	2+ 3- 5-  0 -2 -2 -2 19+
Curve Equation t Generators 13110r1 [1,0,1,-2638,48896] 2 [22:29:1] 13110r2 [1,0,1,-41518,3252608] 2 [94:380:1]
13110s (4 curves)	0	2+ 3- 5- 19- 23+	2+ 3- 5-  0  4  6  2 19-
Curve Equation t 13110s1 [1,0,1,-288,-8594] 2 13110s2 [1,0,1,-8288,-290194] 4 13110s3 [1,0,1,-132488,-18572434] 2 13110s4 [1,0,1,-12088,1646] 2
13110t (2 curves)	1	2- 3+ 5+ 19+ 23-	2- 3+ 5+  0 -6  2  2 19+
Curve Equation t Generators 13110t1 [1,1,1,-324436856,-2246888303431] 2 [28683:3456427:1] 13110t2 [1,1,1,-414016376,-907208665927] 2 [-6011:1171037:1]
13110u (1 curve)	1	2- 3+ 5+ 19+ 23-	2- 3+ 5+  3  3 -1 -4 19+
Curve Equation t Generators 13110u1 [1,1,1,-781001,-266775001] 1 [402122926997:-695625789104:393832837]
13110v (1 curve)	1	2- 3+ 5+ 19- 23+	2- 3+ 5+ -5  5  1  2 19-
Curve Equation t Generators 13110v1 [1,1,1,8854,147779] 1 [101:1393:1]
13110w (4 curves)	0	2- 3+ 5+ 19- 23-	2- 3+ 5+  0 -4  6  6 19-
Curve Equation t 13110w1 [1,1,1,-92521,-10870057] 2 13110w2 [1,1,1,-97641,-9606441] 4 13110w3 [1,1,1,-477641,118225559] 2 13110w4 [1,1,1,200439,-56464617] 2
13110x (1 curve)	1	2- 3+ 5- 19+ 23+	2- 3+ 5-  2 -1 -5  3 19+
Curve Equation t Generators 13110x1 [1,1,1,-115,-3535] 1 [35:174:1]
13110y (2 curves)	1	2- 3+ 5- 19+ 23+	2- 3+ 5- -2  4  2 -2 19+
Curve Equation t Generators 13110y1 [1,1,1,-970,19607] 2 [7:111:1] 13110y2 [1,1,1,-18450,956535] 2 [-17:1133:1]
13110z (4 curves)	0	2- 3+ 5- 19+ 23-	2- 3+ 5-  0  0  2  2 19+
Curve Equation t 13110z1 [1,1,1,2115,2115] 4 13110z2 [1,1,1,-8465,6347] 4 13110z3 [1,1,1,-91495,-10654705] 2 13110z4 [1,1,1,-94715,11149847] 2
13110ba (1 curve)	1	2- 3+ 5- 19- 23-	2- 3+ 5- -2  0 -1  1 19-
Curve Equation t Generators 13110ba1 [1,1,1,374080,576175457] 1 [-283:21301:1]
13110bb (2 curves)	1	2- 3+ 5- 19- 23-	2- 3+ 5- -2  0  2 -2 19-
Curve Equation t Generators 13110bb1 [1,1,1,-1165,-15805] 2 [85:670:1] 13110bb2 [1,1,1,-18645,-987693] 2 [161:384:1]
13110bc (1 curve)	1	2- 3+ 5- 19- 23-	2- 3+ 5- -2 -3 -1 -5 19-
Curve Equation t Generators 13110bc1 [1,1,1,-980,11477] 1 [27:-89:1]
13110bd (2 curves)	1	2- 3+ 5- 19- 23-	2- 3+ 5- -2 -6  2  4 19-
Curve Equation t Generators 13110bd1 [1,1,1,-536015,2624422997] 2 [-1253:37106:1] 13110bd2 [1,1,1,-31993295,69049615445] 2 [-5557:277138:1]
13110be (1 curve)	1	2- 3+ 5- 19- 23-	2- 3+ 5-  3 -1 -3 -6 19-
Curve Equation t Generators 13110be1 [1,1,1,-70,-1105] 1 [13:13:1]
13110bf (2 curves)	0	2- 3- 5+ 19+ 23-	2- 3- 5+  0  2 -6  6 19+
Curve Equation t 13110bf1 [1,0,0,-16441,810041] 2 13110bf2 [1,0,0,-16561,797585] 2
13110bg (2 curves)	0	2- 3- 5+ 19+ 23-	2- 3- 5+  4 -2  2  2 19+
Curve Equation t 13110bg1 [1,0,0,-1156,15020] 2 13110bg2 [1,0,0,-1426,7406] 2
13110bh (2 curves)	0	2- 3- 5+ 19- 23+	2- 3- 5+  2  0 -2 -4 19-
Curve Equation t 13110bh1 [1,0,0,-2147482601,38303748741465] 2 13110bh2 [1,0,0,-34359737321,2451446156384601] 2
13110bi (2 curves)	0	2- 3- 5+ 19- 23+	2- 3- 5+  2  0  5  3 19-
Curve Equation t 13110bi1 [1,0,0,2564,20360] 3 13110bi2 [1,0,0,-29026,-2258494] 1
13110bj (1 curve)	0	2- 3- 5+ 19- 23+	2- 3- 5+  2  5  3  1 19-
Curve Equation t 13110bj1 [1,0,0,49,285] 1
13110bk (1 curve)	1	2- 3- 5+ 19- 23-	2- 3- 5+  1 -3 -5 -2 19-
Curve Equation t Generators 13110bk1 [1,0,0,494,-17404] 1 [68:-610:1]
13110bl (2 curves)	1	2- 3- 5+ 19- 23-	2- 3- 5+ -2  0 -2  0 19-
Curve Equation t Generators 13110bl1 [1,0,0,759,4761] 2 [0:69:1] 13110bl2 [1,0,0,-3561,40185] 2 [558:12831:1]
13110bm (2 curves)	1	2- 3- 5+ 19- 23-	2- 3- 5+ -4  2  0 -2 19-
Curve Equation t Generators 13110bm1 [1,0,0,-2928166,1928410016] 2 [1520:30704:1] 13110bm2 [1,0,0,-46851036,123427853010] 2 [32262:54663:8]
13110bn (1 curve)	1	2- 3- 5- 19+ 23-	2- 3- 5-  1  1 -7 -4 19+
Curve Equation t Generators 13110bn1 [1,0,0,-2480,125952] 1 [-56:328:1]
13110bo (1 curve)	1	2- 3- 5- 19+ 23-	2- 3- 5- -4  2  1 -3 19+
Curve Equation t Generators 13110bo1 [1,0,0,-6015,181017] 1 [54:-147:1]
13110bp (4 curves)	1	2- 3- 5- 19+ 23-	2- 3- 5- -4 -4 -2  6 19+
Curve Equation t Generators 13110bp1 [1,0,0,-101482820,-400761604080] 4 [13006:685912:1] 13110bp2 [1,0,0,-1632032900,-25377196139568] 4 [-23318:14350:1] 13110bp3 [1,0,0,-26112523580,-1624134393174600] 2 [288010:121287370:1] 13110bp4 [1,0,0,-1640343500,-25105687175448] 2 [69022:13767628:1]
13110bq (1 curve)	1	2- 3- 5- 19- 23+	2- 3- 5-  0 -2 -3 -1 19-
Curve Equation t Generators 13110bq1 [1,0,0,-109750,69843932] 1 [4574:-310942:1]
13110br (2 curves)	1	2- 3- 5- 19- 23+	2- 3- 5-  0 -2 -6  2 19-
Curve Equation t Generators 13110br1 [1,0,0,-1006175,-298494375] 2 [-650:9325:1] 13110br2 [1,0,0,-5429855,4617983577] 2 [-2006:87253:1]
13110bs (1 curve)	1	2- 3- 5- 19- 23+	2- 3- 5- -3 -5  3  2 19-
Curve Equation t Generators 13110bs1 [1,0,0,-405,3105] 1 [12:-9:1]

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