Cremona's table of elliptic curves

10089 = 3² · 19 · 59

Class	r	Atkin-Lehner	Eigenvalues
10089a (1 curve)	0	3- 19+ 59+	0 3-  2  5  4  1  4 19+
Curve Equation t 10089a1 [0,0,1,-84,-306] 1
10089b (2 curves)	0	3- 19+ 59+	-1 3-  2  0 -6 -4  2 19+
Curve Equation t 10089b1 [1,-1,1,-689,-4440] 2 10089b2 [1,-1,1,1966,-32052] 2
10089c (2 curves)	2	3- 19+ 59+	-1 3- -2 -4  0  0 -6 19+
Curve Equation t Generators 10089c1 [1,-1,1,-356,-2298] 2 [-12:17:1]&[-10:18:1] 10089c2 [1,-1,1,-1211,13776] 2 [-34:138:1]&[-10:162:1]
10089d (1 curve)	1	3- 19+ 59-	0 3-  1 -1  3  2 -1 19+
Curve Equation t Generators 10089d1 [0,0,1,-1362,19579] 1 [49:265:1]
10089e (2 curves)	1	3- 19+ 59-	-1 3-  2  0  6  0 -6 19+
Curve Equation t Generators 10089e1 [1,-1,1,-5063639,-4131344554] 2 [8997978:687826907:1331] 10089e2 [1,-1,1,4178416,-17528627482] 2 [3377590949337:275830142651048:517781627]
10089f (2 curves)	1	3- 19- 59+	-1 3- -2  4 -4  0 -6 19-
Curve Equation t Generators 10089f1 [1,-1,1,-9387986,3802799360] 2 [5130:298480:1] 10089f2 [1,-1,1,-120812441,510694930046] 2 [5776:71658:1]

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