Cremona's table of elliptic curves

98553 = 3 · 7 · 13 · 19²

Class	r	Atkin-Lehner	Eigenvalues
98553a (1 curve)	2	3+ 7+ 13+ 19-	0 3+ -4 7+ -3 13+  2 19-
Curve Equation t Generators 98553a1 [0,-1,1,-4676875,3894565092] 1 [1248:-181:1]&[9642:21295:8]
98553b (1 curve)	0	3+ 7+ 13+ 19-	1 3+ -1 7+  3 13+  0 19-
Curve Equation t 98553b1 [1,1,0,-964238,409597809] 1
98553c (1 curve)	2	3+ 7+ 13- 19+	0 3+  2 7+ -1 13-  2 19+
Curve Equation t Generators 98553c1 [0,-1,1,13,59] 1 [1:8:1]&[13:47:1]
98553d (1 curve)	0	3+ 7+ 13- 19+	1 3+  3 7+  0 13-  0 19+
Curve Equation t 98553d1 [1,1,0,-26721,-14642532] 1
98553e (1 curve)	0	3+ 7+ 13- 19+	1 3+ -3 7+ -5 13- -7 19+
Curve Equation t 98553e1 [1,1,0,91326,2957301] 1
98553f (1 curve)	2	3+ 7+ 13- 19+	-1 3+  0 7+ -5 13- -5 19+
Curve Equation t Generators 98553f1 [1,1,1,-188,-1726] 1 [36:-218:1]&[174:479:8]
98553g (2 curves)	1	3+ 7+ 13- 19-	1 3+  2 7+  2 13-  4 19-
Curve Equation t Generators 98553g1 [1,1,0,-9754,-19505] 2 [34023607662:-423608652491:176558481] 98553g2 [1,1,0,38981,-107228] 2 [7604916:198249964:132651]
98553h (4 curves)	1	3+ 7+ 13- 19-	-1 3+ -2 7+  4 13-  2 19-
Curve Equation t Generators 98553h1 [1,1,1,6671,3338246] 4 [158382:3437680:343] 98553h2 [1,1,1,-298374,60686706] 4 [-278:11195:1] 98553h3 [1,1,1,-744209,-163835800] 2 [-143367:3030523:343] 98553h4 [1,1,1,-4733259,3961611552] 2 [2249:67419:1]
98553i (1 curve)	1	3+ 7+ 13- 19-	-2 3+  1 7+ -2 13-  0 19-
Curve Equation t Generators 98553i1 [0,-1,1,916820,1085332404] 1 [-521:21586:1]
98553j (1 curve)	0	3+ 7- 13+ 19+	-1 3+  2 7- -3 13+  1 19+
Curve Equation t 98553j1 [1,1,1,45298,-12250456] 1
98553k (3 curves)	1	3+ 7- 13+ 19-	0 3+  0 7-  3 13+ -6 19-
Curve Equation t Generators 98553k1 [0,-1,1,-123943,-16863771] 1 [560170674:6375824975:1191016] 98553k2 [0,-1,1,363407,-90053994] 1 [228:2145:1] 98553k3 [0,-1,1,-3578713,4048876347] 1 [-217853601:4995326466:103823]
98553l (2 curves)	1	3+ 7- 13+ 19-	0 3+  3 7-  6 13+ -6 19-
Curve Equation t Generators 98553l1 [0,-1,1,51,173] 1 [42:185:8] 98553l2 [0,-1,1,-1659,26678] 1 [24:10:1]
98553m (1 curve)	2	3+ 7- 13- 19-	1 3+  1 7- -4 13- -8 19-
Curve Equation t Generators 98553m1 [1,1,0,943,29268] 1 [4:180:1]&[-98:1063:8]
98553n (1 curve)	0	3+ 7- 13- 19-	1 3+  1 7-  5 13-  1 19-
Curve Equation t 98553n1 [1,1,0,-5296479337,-148413463010882] 1
98553o (1 curve)	0	3+ 7- 13- 19-	1 3+  1 7-  5 13- -8 19-
Curve Equation t 98553o1 [1,1,0,-7227,-899262] 1
98553p (2 curves)	0	3+ 7- 13- 19-	1 3+ -2 7-  2 13-  4 19-
Curve Equation t 98553p1 [1,1,0,-607931,180691680] 2 98553p2 [1,1,0,-169316,436579671] 2
98553q (4 curves)	0	3+ 7- 13- 19-	1 3+ -2 7- -4 13- -2 19-
Curve Equation t 98553q1 [1,1,0,-144046,15844279] 2 98553q2 [1,1,0,-795651,-260305920] 4 98553q3 [1,1,0,541854,-1045421355] 4 98553q4 [1,1,0,-12558836,-17135771121] 2
98553r (1 curve)	2	3+ 7- 13- 19-	-2 3+ -2 7- -1 13- -2 19-
Curve Equation t Generators 98553r1 [0,-1,1,-5174,221276] 1 [218:2523:8]&[-63:541:1]
98553s (1 curve)	0	3- 7+ 13+ 19+	0 3-  2 7+ -1 13+  2 19+
Curve Equation t 98553s1 [0,1,1,4573,-434086] 1
98553t (1 curve)	1	3- 7+ 13+ 19-	1 3-  0 7+ -5 13+ -5 19-
Curve Equation t Generators 98553t1 [1,0,1,-67876,11294411] 1 [-111:4234:1]
98553u (1 curve)	1	3- 7+ 13+ 19-	-1 3-  3 7+  0 13+  0 19-
Curve Equation t Generators 98553u1 [1,0,0,-74,2127] 1 [-11:46:1]
98553v (1 curve)	1	3- 7+ 13+ 19-	-1 3- -3 7+ -5 13+ -7 19-
Curve Equation t Generators 98553v1 [1,0,0,32968498,-20020379079] 1 [601:2995:1]
98553w (1 curve)	1	3- 7+ 13+ 19-	2 3- -2 7+ -3 13+  6 19-
Curve Equation t Generators 98553w1 [0,1,1,-225384,-42986239] 1 [204556232658:6426383397155:170031464]
98553x (1 curve)	1	3- 7- 13+ 19+	-1 3-  1 7- -4 13+ -8 19+
Curve Equation t Generators 98553x1 [1,0,0,340235,-198026836] 1 [2611:134680:1]
98553y (1 curve)	1	3- 7- 13+ 19+	-1 3-  1 7-  5 13+  1 19+
Curve Equation t Generators 98553y1 [1,0,0,-1912029040845,1017952646559313374] 1 [755685:67463613:1]
98553z (4 curves)	2	3- 7- 13+ 19-	-1 3-  2 7- -4 13+ -6 19-
Curve Equation t Generators 98553z1 [1,0,0,-117152,-15443505] 2 [1402:50059:1]&[21729:536953:27] 98553z2 [1,0,0,-118957,-14943520] 4 [-235:335:1]&[-173:769:1] 98553z3 [1,0,0,92228,-62206723] 2 [353:3614:1]&[25364:374663:64] 98553z4 [1,0,0,-359022,64325943] 2 [-669:2616:1]&[-597:8421:1]
98553ba (1 curve)	0	3- 7- 13+ 19-	2 3- -1 7- -2 13+ -4 19-
Curve Equation t 98553ba1 [0,1,1,-9506,-411343] 1
98553bb (2 curves)	0	3- 7- 13- 19+	0 3-  3 7-  6 13- -6 19+
Curve Equation t 98553bb1 [0,1,1,18291,-1298320] 3 98553bb2 [0,1,1,-599019,-179392255] 1
98553bc (4 curves)	1	3- 7- 13- 19-	1 3-  2 7-  0 13- -2 19-
Curve Equation t Generators 98553bc1 [1,0,1,-78345,-8296337] 2 [1224444:28919963:1728] 98553bc2 [1,0,1,-166790,13850291] 4 [-10934427:-459481400:79507] 98553bc3 [1,0,1,553405,101714081] 2 [92966590651670:3739332361039287:119823157000] 98553bc4 [1,0,1,-2302105,1343724473] 2 [-497:48881:1]
98553bd (1 curve)	1	3- 7- 13- 19-	1 3-  2 7- -3 13-  1 19-
Curve Equation t Generators 98553bd1 [1,0,1,125,1799] 1 [31:173:1]

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