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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 159201.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159201.c1 | 159201d1 | \([0, 0, 1, -25206825, 48724708702]\) | \(-59584000000/19683\) | \(-585113055416074794987\) | \([]\) | \(10933056\) | \(2.9581\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159201.c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 159201.c do not have complex multiplication.Modular form 159201.2.a.c
sage: E.q_eigenform(10)