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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 372810h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.h1 | 372810h1 | \([1, 1, 0, 676977, 79248933]\) | \(1421513286860519/934239052800\) | \(-22550259599454643200\) | \([]\) | \(10782720\) | \(2.4023\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 372810h do not have complex multiplication.Modular form 372810.2.a.h
sage: E.q_eigenform(10)