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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 152880.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
152880.c1 | 152880hs1 | \([0, -1, 0, -315331, 68271190]\) | \(-767228471296/142155\) | \(-642484304345520\) | \([]\) | \(1110144\) | \(1.8437\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 152880.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 152880.c do not have complex multiplication.Modular form 152880.2.a.c
sage: E.q_eigenform(10)