Cremona's table of elliptic curves

25194 = 2 · 3 · 13 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
25194a (2 curves)	1	2+ 3+ 13+ 17+ 19+	2+ 3+ -2  2 -6 13+ 17+ 19+
Curve Equation t Generators 25194a1 [1,1,0,-91741,9579901] 2 [-86:4147:1] 25194a2 [1,1,0,-348621,-69076755] 2 [-255:1950:1]
25194b (2 curves)	1	2+ 3+ 13+ 17+ 19+	2+ 3+ -4  4 -4 13+ 17+ 19+
Curve Equation t Generators 25194b1 [1,1,0,-3828292,2219707600] 2 [-3:47237:1] 25194b2 [1,1,0,-57259332,166733879760] 2 [4861:54910:1]
25194c (2 curves)	0	2+ 3+ 13+ 17+ 19-	2+ 3+  0  0  4 13+ 17+ 19-
Curve Equation t 25194c1 [1,1,0,-55660,-5076608] 2 25194c2 [1,1,0,-890520,-323826156] 2
25194d (1 curve)	0	2+ 3+ 13+ 17+ 19-	2+ 3+  0  3 -5 13+ 17+ 19-
Curve Equation t 25194d1 [1,1,0,-3460,1194736] 1
25194e (2 curves)	1	2+ 3+ 13+ 17- 19-	2+ 3+  0  2  2 13+ 17- 19-
Curve Equation t Generators 25194e1 [1,1,0,-272480,-54764112] 2 [-293:308:1] 25194e2 [1,1,0,-366340,-13859924] 2 [695:7889:1]
25194f (2 curves)	1	2+ 3+ 13+ 17- 19-	2+ 3+  2 -2  0 13+ 17- 19-
Curve Equation t Generators 25194f1 [1,1,0,-265564,52563088] 2 [49:6274:1] 25194f2 [1,1,0,-255684,56667240] 2 [635:11965:1]
25194g (1 curve)	1	2+ 3+ 13+ 17- 19-	2+ 3+ -4  4 -3 13+ 17- 19-
Curve Equation t Generators 25194g1 [1,1,0,13,45] 1 [-2:5:1]
25194h (1 curve)	1	2+ 3+ 13- 17+ 19-	2+ 3+  0  0 -1 13- 17+ 19-
Curve Equation t Generators 25194h1 [1,1,0,-138280,19756516] 1 [222:136:1]
25194i (2 curves)	1	2+ 3+ 13- 17- 19+	2+ 3+  0  4  2 13- 17- 19+
Curve Equation t Generators 25194i1 [1,1,0,-30978835,-66213575507] 2 [-862470663631:-1245765890620:278445077] 25194i2 [1,1,0,-18526995,-119928322899] 2 [744434760409562794540455:-296218016376711824770274916:4709959251712841251]
25194j (2 curves)	0	2+ 3- 13+ 17+ 19+	2+ 3-  0 -2  0 13+ 17+ 19+
Curve Equation t 25194j1 [1,0,1,-21523406,-38435241940] 2 25194j2 [1,0,1,-20913316,-40716490468] 2
25194k (1 curve)	2	2+ 3- 13+ 17+ 19+	2+ 3- -3 -1 -4 13+ 17+ 19+
Curve Equation t Generators 25194k1 [1,0,1,-105,1120] 1 [-7:-36:1]&[5:-30:1]
25194l (2 curves)	2	2+ 3- 13+ 17+ 19+	2+ 3- -4 -4  0 13+ 17+ 19+
Curve Equation t Generators 25194l1 [1,0,1,-588,-1478] 2 [-19:63:1]&[-146:525:8] 25194l2 [1,0,1,-5528,156602] 2 [-81:313:1]&[-69:493:1]
25194m (1 curve)	2	2+ 3- 13+ 17- 19-	2+ 3- -1 -5  0 13+ 17- 19-
Curve Equation t Generators 25194m1 [1,0,1,6421,539210] 1 [930:95276:125]&[-43:450:1]
25194n (2 curves)	2	2+ 3- 13+ 17- 19-	2+ 3- -4 -2 -6 13+ 17- 19-
Curve Equation t Generators 25194n1 [1,0,1,-25288,1492502] 2 [121:-517:1]&[-164:1193:1] 25194n2 [1,0,1,-400728,97605142] 2 [125027:-53451:343]&[-451:13887:1]
25194o (2 curves)	0	2+ 3- 13- 17+ 19-	2+ 3-  0  5 -3 13- 17+ 19-
Curve Equation t 25194o1 [1,0,1,-31946,2195012] 3 25194o2 [1,0,1,-25121,3160340] 1
25194p (1 curve)	1	2- 3+ 13+ 17+ 19-	2- 3+  1 -1  4 13+ 17+ 19-
Curve Equation t Generators 25194p1 [1,1,1,-5630,213563] 1 [77:-533:1]
25194q (2 curves)	1	2- 3+ 13+ 17+ 19-	2- 3+  2  2 -2 13+ 17+ 19-
Curve Equation t Generators 25194q1 [1,1,1,-3565727,1043216453] 2 [291:5362:1] 25194q2 [1,1,1,-46978447,123831753701] 2 [19880089:-26837076:4913]
25194r (2 curves)	2	2- 3+ 13+ 17- 19-	2- 3+  0 -4 -6 13+ 17- 19-
Curve Equation t Generators 25194r1 [1,1,1,-488,-4183] 2 [-15:13:1]&[-13:19:1] 25194r2 [1,1,1,272,-15127] 2 [23:51:1]&[302:1647:8]
25194s (2 curves)	2	2- 3+ 13+ 17- 19-	2- 3+ -4 -4 -2 13+ 17- 19-
Curve Equation t Generators 25194s1 [1,1,1,-154870,23391731] 2 [5979:533:27]&[263:-1101:1] 25194s2 [1,1,1,-142710,27234291] 2 [199:-2701:1]&[-2258:54867:8]
25194t (1 curve)	0	2- 3+ 13- 17+ 19-	2- 3+  4 -1 -3 13- 17+ 19-
Curve Equation t 25194t1 [1,1,1,144489,-64386969] 1
25194u (4 curves)	0	2- 3+ 13- 17- 19+	2- 3+  2  0 -4 13- 17- 19+
Curve Equation t 25194u1 [1,1,1,1438218,5821525491] 2 25194u2 [1,1,1,-41077062,97144346931] 4 25194u3 [1,1,1,-112708602,-333848302941] 2 25194u4 [1,1,1,-649690002,6373647874563] 4
25194v (6 curves)	1	2- 3+ 13- 17- 19-	2- 3+ -2  0 -4 13- 17- 19-
Curve Equation t Generators 25194v1 [1,1,1,3621,49065] 4 [387:7526:1] 25194v2 [1,1,1,-16859,401321] 8 [15:382:1] 25194v3 [1,1,1,-132379,-18312919] 4 [-227:436:1] 25194v4 [1,1,1,-229019,42069545] 4 [287:146:1] 25194v5 [1,1,1,-3939,-52169703] 2 [1605:-64672:1] 25194v6 [1,1,1,-2109139,-1179857095] 2 [-839:436:1]
25194w (1 curve)	1	2- 3- 13+ 17+ 19+	2- 3-  1 -3  4 13+ 17+ 19+
Curve Equation t Generators 25194w1 [1,0,0,220,864] 1 [90:822:1]
25194x (1 curve)	0	2- 3- 13- 17+ 19+	2- 3-  1 -3  0 13- 17+ 19+
Curve Equation t 25194x1 [1,0,0,-1735,-28087] 1
25194y (4 curves)	1	2- 3- 13- 17- 19+	2- 3-  2 -4 -4 13- 17- 19+
Curve Equation t Generators 25194y1 [1,0,0,-131287,14133977] 4 [-364:3887:1] 25194y2 [1,0,0,-702507,-214696755] 4 [-3354:21567:8] 25194y3 [1,0,0,529503,-887127813] 2 [64038:5716191:8] 25194y4 [1,0,0,-11074037,-14185147665] 2 [532948:43659421:64]
25194z (4 curves)	1	2- 3- 13- 17- 19+	2- 3- -2  0  0 13- 17- 19+
Curve Equation t Generators 25194z1 [1,0,0,-336154,74959460] 4 [308:662:1] 25194z2 [1,0,0,-390234,49206564] 4 [-336:12102:1] 25194z3 [1,0,0,1299246,361760364] 2 [386:30152:1] 25194z4 [1,0,0,-2944994,-1911316260] 2 [-914:4588:1]
25194ba (1 curve)	1	2- 3- 13- 17- 19+	2- 3- -4 -1 -1 13- 17- 19+
Curve Equation t Generators 25194ba1 [1,0,0,345,-1719] 1 [18:-111:1]

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