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SageMath
E = EllipticCurve("hr1")
E.isogeny_class()
Elliptic curves in class 377520.hr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
377520.hr1 | 377520hr1 | \([0, 1, 0, -7085800, -10483215052]\) | \(-4073768343611/2555904000\) | \(-24685313782651551744000\) | \([]\) | \(26002944\) | \(2.9983\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 377520.hr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 377520.hr do not have complex multiplication.Modular form 377520.2.a.hr
sage: E.q_eigenform(10)