Cremona's table of elliptic curves

114798 = 2 · 3 · 19² · 53

Class	r	Atkin-Lehner	Eigenvalues
114798a (1 curve)	1	2+ 3+ 19+ 53+	2+ 3+ -3 -1 -2 -2 -8 19+
Curve Equation t Generators 114798a1 [1,1,0,-1377944,181003584] 1 [3760:217608:1]
114798b (2 curves)	0	2+ 3+ 19+ 53-	2+ 3+  0  0 -4 -4  2 19+
Curve Equation t 114798b1 [1,1,0,-239350,49832068] 2 114798b2 [1,1,0,-3943210,3012179296] 2
114798c (1 curve)	0	2+ 3+ 19- 53+	2+ 3+  0  3 -4  5  2 19-
Curve Equation t 114798c1 [1,1,0,-67875,-22935063] 1
114798d (1 curve)	0	2+ 3+ 19- 53+	2+ 3+  2  1  0 -1  3 19-
Curve Equation t 114798d1 [1,1,0,-122067464,519045645120] 1
114798e (2 curves)	0	2+ 3+ 19- 53+	2+ 3+  2  4  0 -4 -6 19-
Curve Equation t 114798e1 [1,1,0,4686,-216972] 2 114798e2 [1,1,0,-38634,-2443620] 2
114798f (2 curves)	1	2+ 3+ 19- 53-	2+ 3+  0 -1  0  1  6 19-
Curve Equation t Generators 114798f1 [1,1,0,4420,63696] 1 [1432:53556:1] 114798f2 [1,1,0,-86780,9982608] 1 [136:780:1]
114798g (1 curve)	1	2+ 3+ 19- 53-	2+ 3+  1 -2 -5 -2 -5 19-
Curve Equation t Generators 114798g1 [1,1,0,-12642,2382228] 1 [-21:1635:1]
114798h (2 curves)	1	2+ 3+ 19- 53-	2+ 3+  3 -1  0  4  6 19-
Curve Equation t Generators 114798h1 [1,1,0,-86286,-9782028] 1 [-1346:1395:8] 114798h2 [1,1,0,-324546,60937872] 1 [-97:9615:1]
114798i (1 curve)	2	2+ 3- 19+ 53+	2+ 3-  1  1 -6 -4 -6 19+
Curve Equation t Generators 114798i1 [1,0,1,-10078,388544] 1 [19999:-12109:343]&[28:344:1]
114798j (2 curves)	1	2+ 3- 19- 53+	2+ 3-  2 -4  4  0  2 19-
Curve Equation t Generators 114798j1 [1,0,1,-96395,14639798] 2 [-312:3946:1] 114798j2 [1,0,1,-1655915,819975926] 2 [5160:357517:1]
114798k (1 curve)	1	2+ 3- 19- 53+	2+ 3- -3 -4 -5  2  5 19-
Curve Equation t Generators 114798k1 [1,0,1,-4340,-344590] 1 [372:6853:1]
114798l (1 curve)	0	2+ 3- 19- 53-	2+ 3-  0  1  5  0  2 19-
Curve Equation t 114798l1 [1,0,1,714,52510] 1
114798m (1 curve)	1	2- 3+ 19+ 53-	2- 3+  1  1 -6  4 -6 19+
Curve Equation t Generators 114798m1 [1,1,1,-3637985,-2672300977] 1 [63639735:8660774338:3375]
114798n (1 curve)	1	2- 3+ 19- 53+	2- 3+ -1  1  0  2  0 19-
Curve Equation t Generators 114798n1 [1,1,1,-1116761,-453337945] 1 [-613:1472:1]
114798o (2 curves)	1	2- 3+ 19- 53+	2- 3+  3  2  3 -2  3 19-
Curve Equation t Generators 114798o1 [1,1,1,-53022424,-153893551207] 1 [64109304497:47288408970333:117649] 114798o2 [1,1,1,264681041,-452720781067] 1 [6743:1276734:1]
114798p (2 curves)	0	2- 3+ 19- 53-	2- 3+  0  0  2 -6  6 19-
Curve Equation t 114798p1 [1,1,1,-55841473,160590624815] 2 114798p2 [1,1,1,-55458813,162900513639] 2
114798q (2 curves)	0	2- 3+ 19- 53-	2- 3+  0  5 -3  4  6 19-
Curve Equation t 114798q1 [1,1,1,-21848,-1252591] 1 114798q2 [1,1,1,16057,-4921795] 1
114798r (1 curve)	2	2- 3+ 19- 53-	2- 3+ -1 -1  0 -4 -2 19-
Curve Equation t Generators 114798r1 [1,1,1,-2744871,1745679837] 1 [1043:-4854:1]&[-105:45138:1]
114798s (1 curve)	0	2- 3+ 19- 53-	2- 3+ -3 -3 -4  6  0 19-
Curve Equation t 114798s1 [1,1,1,-16072,-719755] 1
114798t (2 curves)	1	2- 3- 19+ 53+	2- 3-  0  0 -4  4  2 19+
Curve Equation t Generators 114798t1 [1,0,0,-663,-7335] 2 [68:479:1] 114798t2 [1,0,0,-10923,-440307] 2 [122:155:1]
114798u (2 curves)	1	2- 3- 19+ 53+	2- 3-  0 -1  0 -1  6 19+
Curve Equation t Generators 114798u1 [1,0,0,1595432,-424126912] 3 [662:30038:1] 114798u2 [1,0,0,-31327768,-68721329920] 1 [1757040810:-1268561857972:3375]
114798v (1 curve)	0	2- 3- 19+ 53-	2- 3-  0  3 -4 -5  2 19+
Curve Equation t 114798v1 [1,0,0,-188,3324] 1
114798w (1 curve)	2	2- 3- 19+ 53-	2- 3- -3 -1 -2  2 -8 19+
Curve Equation t Generators 114798w1 [1,0,0,-3817,-26791] 1 [68:137:1]&[-22:-205:1]
114798x (1 curve)	0	2- 3- 19- 53+	2- 3- -2  1 -4 -5  3 19-
Curve Equation t 114798x1 [1,0,0,-1025789,-401123631] 1
114798y (1 curve)	0	2- 3- 19- 53+	2- 3-  4  1 -1  4  6 19-
Curve Equation t 114798y1 [1,0,0,51074,-825532] 1
114798z (1 curve)	1	2- 3- 19- 53-	2- 3- -1  0 -1  2 -7 19-
Curve Equation t Generators 114798z1 [1,0,0,2339,80939] 1 [-26:2179:8]
114798ba (1 curve)	1	2- 3- 19- 53-	2- 3- -1 -3 -4  2 -4 19-
Curve Equation t Generators 114798ba1 [1,0,0,-228701,26011569] 1 [1930:81343:1]
114798bb (2 curves)	1	2- 3- 19- 53-	2- 3-  2  0  2 -4  2 19-
Curve Equation t Generators 114798bb1 [1,0,0,-2209147,817774097] 2 [-1642:5153:1] 114798bb2 [1,0,0,-14454267,-20545062255] 2 [-2490:4305:1]
114798bc (4 curves)	1	2- 3- 19- 53-	2- 3-  2  0 -4  2  2 19-
Curve Equation t Generators 114798bc1 [1,0,0,-19723062,-50155970652] 4 [6402570:1440100902:125] 114798bc2 [1,0,0,-356579382,-2591197934940] 4 [80135669190:16957383914634:1520875] 114798bc3 [1,0,0,-397906662,-1953146059020] 2 [133708413031453855473690:28166584228363700908583334:2531386825074564625] 114798bc4 [1,0,0,-5704953222,-165854588100012] 2 [74600478837894296571690:-1195262763647617081513866:854305657479114625]

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