Cremona's table of elliptic curves

21021 = 3 · 7² · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
21021a (2 curves)	0	3+ 7- 11+ 13+	1 3+  0 7- 11+ 13+  2 -4
Curve Equation t 21021a1 [1,1,0,-45840,3748683] 2 21021a2 [1,1,0,-26975,6884046] 2
21021b (6 curves)	0	3+ 7- 11+ 13+	-1 3+  2 7- 11+ 13+  6  4
Curve Equation t 21021b1 [1,1,1,-1177,-22786] 2 21021b2 [1,1,1,-21022,-1181734] 4 21021b3 [1,1,1,-23227,-921544] 4 21021b4 [1,1,1,-336337,-75217696] 2 21021b5 [1,1,1,65708,-6186496] 2 21021b6 [1,1,1,-147442,21039668] 2
21021c (1 curve)	0	3+ 7- 11+ 13+	2 3+  0 7- 11+ 13+ -6 -6
Curve Equation t 21021c1 [0,-1,1,-4818,132635] 1
21021d (1 curve)	0	3+ 7- 11+ 13+	-2 3+  3 7- 11+ 13+  2  5
Curve Equation t 21021d1 [0,-1,1,-92724,-10928968] 1
21021e (1 curve)	1	3+ 7- 11+ 13-	0 3+  1 7- 11+ 13-  4 -7
Curve Equation t Generators 21021e1 [0,-1,1,-1606285,-783313665] 1 [6515:515014:1]
21021f (1 curve)	1	3+ 7- 11+ 13-	0 3+  4 7- 11+ 13-  2  0
Curve Equation t Generators 21021f1 [0,-1,1,-1801,-28911] 1 [6645:18792:125]
21021g (1 curve)	1	3- 7- 11+ 13+	0 3- -4 7- 11+ 13+ -2  0
Curve Equation t Generators 21021g1 [0,1,1,-88265,10092905] 1 [-33:3601:1]
21021h (1 curve)	2	3- 7- 11+ 13-	0 3- -3 7- 11+ 13- -4 -7
Curve Equation t Generators 21021h1 [0,1,1,323433,6805397] 1 [4293:283783:1]&[3:2788:1]
21021i (2 curves)	0	3- 7- 11+ 13-	1 3-  0 7- 11+ 13-  0  8
Curve Equation t 21021i1 [1,0,1,-169811,-40739191] 2 21021i2 [1,0,1,-3087026,-2087457235] 2
21021j (2 curves)	0	3- 7- 11+ 13-	1 3-  0 7- 11+ 13- -2  4
Curve Equation t 21021j1 [1,0,1,-936,-11063] 2 21021j2 [1,0,1,-551,-20149] 2
21021k (4 curves)	0	3- 7- 11+ 13-	1 3-  2 7- 11+ 13-  6 -4
Curve Equation t 21021k1 [1,0,1,-4485,-60077] 2 21021k2 [1,0,1,-34130,2382671] 4 21021k3 [1,0,1,905,7049333] 2 21021k4 [1,0,1,-543485,154170461] 2
21021l (1 curve)	0	3- 7- 11+ 13-	-2 3-  0 7- 11+ 13-  6  2
Curve Equation t 21021l1 [0,1,1,92202,11376656] 1
21021m (1 curve)	2	3- 7- 11+ 13-	-2 3- -3 7- 11+ 13- -2 -5
Curve Equation t Generators 21021m1 [0,1,1,-1892,31322] 1 [-47:136:1]&[-8:214:1]
21021n (2 curves)	0	3- 7- 11- 13+	-1 3-  0 7- 11- 13+  4  8
Curve Equation t 21021n1 [1,0,0,97,-456] 2 21021n2 [1,0,0,-638,-4719] 2
21021o (1 curve)	1	3- 7- 11- 13-	0 3-  1 7- 11- 13-  4  1
Curve Equation t Generators 21021o1 [0,1,1,-65,5177] 1 [-5:73:1]
21021p (4 curves)	1	3- 7- 11- 13-	1 3- -2 7- 11- 13- -6  4
Curve Equation t Generators 21021p1 [1,0,1,513,-28619] 2 [4405:20631:125] 21021p2 [1,0,1,-11492,-451195] 4 [-69:154:1] 21021p3 [1,0,1,-33787,1822895] 4 [-185:1415:1] 21021p4 [1,0,1,-181277,-29722129] 2 [-125880:67529:512]
21021q (1 curve)	1	3- 7- 11- 13-	-2 3- -4 7- 11- 13-  2  6
Curve Equation t Generators 21021q1 [0,1,1,2140,244640] 1 [352:6688:1]

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