Cremona's table of elliptic curves

23534 = 2 · 7 · 41²

Class	r	Atkin-Lehner	Eigenvalues
23534a (1 curve)	1	2+ 7+ 41+	2+  1  2 7+  2 -1  0  0
Curve Equation t Generators 23534a1 [1,0,1,-15,-24] 1 [120:-16:27]
23534b (2 curves)	1	2+ 7+ 41+	2+ -1 -1 7+  0  4  3  4
Curve Equation t Generators 23534b1 [1,1,0,-198618,33960724] 1 [249:19:1] 23534b2 [1,1,0,-5177658,-4534180556] 1 [-1904439511:3253562691:1442897]
23534c (1 curve)	1	2+ 7+ 41+	2+ -1 -2 7+  2  5 -4  0
Curve Equation t Generators 23534c1 [1,1,0,1544,140480] 1 [-37:204:1]
23534d (2 curves)	1	2+ 7+ 41+	2+ -1 -3 7+  0 -2  3  4
Curve Equation t Generators 23534d1 [1,1,0,-133674,13513204] 1 [-407:1044:1] 23534d2 [1,1,0,-3924329,-2993027579] 1 [-9273980:6605441:8000]
23534e (6 curves)	1	2+ 7+ 41+	2+  2  0 7+  0  4 -6 -2
Curve Equation t Generators 23534e1 [1,1,0,-875,19817] 2 [412:8149:1] 23534e2 [1,1,0,-17685,897299] 2 [-3363:31099:27] 23534e3 [1,1,0,7530,-418924] 2 [1701191580360:-18793123294189:21024576000] 23534e4 [1,1,0,-59710,-4628148] 2 [3190020:45844491:8000] 23534e5 [1,1,0,-286645,-59359827] 2 [1728822164883139982178434905634040:-750466995783260223200451599354123371:9195771613205107971958464000] 23534e6 [1,1,0,-4590005,-3786930259] 2 [-529555635348906839442:264416025768971129291:428009874688345032]
23534f (2 curves)	1	2+ 7+ 41+	2+  2 -3 7+ -3 -2  0 -2
Curve Equation t Generators 23534f1 [1,1,0,-14,14] 1 [1:1:1] 23534f2 [1,1,0,-219,-1339] 1 [-74:49:8]
23534g (2 curves)	1	2+ 7+ 41+	2+  2  4 7+ -4 -4  2  6
Curve Equation t Generators 23534g1 [1,1,0,-53251593,362317158725] 2 [535138883703173905217062327418671491026327218494844844695406404678763324518545:67499207129227795676266055191007523775858298586563807322615023080946697297012026:29929672005480043541138769089901978423740794540924604804889211920416299875] 23534g2 [1,1,0,-1154911753,15090411837765] 2 [169796162671029200328355245113834326687185:41373059030832809613391410619672875493428741:2337118635804467086965385323746210375]
23534h (2 curves)	1	2+ 7+ 41+	2+ -2  2 7+  2 -4 -6  6
Curve Equation t Generators 23534h1 [1,0,1,-142080,7924046] 2 [-285:83009:27] 23534h2 [1,0,1,-1217920,-511921842] 2 [-2078040:8310182:3375]
23534i (1 curve)	1	2+ 7+ 41+	2+ -3 -1 7+ -4  6 -3 -4
Curve Equation t Generators 23534i1 [1,-1,0,-67555,-6739523] 1 [-4083:2882:27]
23534j (1 curve)	1	2+ 7+ 41+	2+ -3  2 7+  2  3  0  8
Curve Equation t Generators 23534j1 [1,-1,0,-3355591,21488543677] 1 [25329287022632512461:-1841957541968980024358:5030184234804821]
23534k (1 curve)	0	2+ 7- 41+	2+  1  1 7-  0 -2  5  4
Curve Equation t 23534k1 [1,0,1,-4238,-70790] 1
23534l (2 curves)	0	2+ 7- 41+	2+  1 -1 7-  0 -4 -3 -4
Curve Equation t 23534l1 [1,0,1,-333877734,2346282975288] 1 23534l2 [1,0,1,-8703643974,-312352296157512] 1
23534m (2 curves)	0	2+ 7- 41+	2+ -2 -2 7-  6  4  2 -2
Curve Equation t 23534m1 [1,0,1,-3465417,2482514060] 2 23534m2 [1,0,1,-3734377,2074663116] 2
23534n (1 curve)	1	2+ 7- 41-	2+  1 -2 7- -2 -5  4  0
Curve Equation t Generators 23534n1 [1,0,1,2594588,9637909090] 1 [140:99949:1]
23534o (1 curve)	1	2+ 7- 41-	2+ -1  2 7- -2  1  0  0
Curve Equation t Generators 23534o1 [1,1,0,-24409,-1563685] 1 [617353:12118116:1331]
23534p (2 curves)	1	2+ 7- 41-	2+ -2 -3 7-  3  2  0  2
Curve Equation t Generators 23534p1 [1,0,1,-24410,1374870] 3 [3594402:21594:50653] 23534p2 [1,0,1,-369015,-86016958] 1 [-334:212:1]
23534q (1 curve)	1	2+ 7- 41-	2+  3  2 7- -2 -3  0 -8
Curve Equation t Generators 23534q1 [1,-1,0,-1996,312272] 1 [3297:35354:27]
23534r (1 curve)	0	2- 7+ 41+	2-  0 -1 7+ -1 -6  0  8
Curve Equation t 23534r1 [1,-1,1,-9643,-362045] 1
23534s (2 curves)	0	2- 7+ 41+	2-  0 -4 7+  2  6  6 -4
Curve Equation t 23534s1 [1,-1,1,5568,418595] 2 23534s2 [1,-1,1,-61672,5259875] 2
23534t (2 curves)	0	2- 7+ 41+	2-  1  1 7+ -2 -4 -3  0
Curve Equation t 23534t1 [1,0,0,-294210,59392484] 1 23534t2 [1,0,0,-26534620,-52611935246] 1
23534u (2 curves)	0	2- 7+ 41+	2-  3 -1 7+  2  0  3  8
Curve Equation t 23534u1 [1,-1,1,-32531868,65750158303] 1 23534u2 [1,-1,1,-16156616628,-790444758984737] 1
23534v (1 curve)	1	2- 7- 41+	2-  1 -1 7-  6  4 -7  0
Curve Equation t Generators 23534v1 [1,0,0,-35336,268352] 1 [-106:1734:1]
23534w (1 curve)	0	2- 7- 41-	2-  0 -1 7-  1  6  0 -8
Curve Equation t 23534w1 [1,-1,1,-16209358,-25114578715] 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