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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 364560.cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
364560.cl1 | 364560cl1 | \([0, -1, 0, -159560, -27656208]\) | \(-932288503609/148800000\) | \(-71705277235200000\) | \([]\) | \(2851200\) | \(1.9624\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 364560.cl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 364560.cl do not have complex multiplication.Modular form 364560.2.a.cl
sage: E.q_eigenform(10)