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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 257754h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257754.h1 | 257754h1 | \([1, 1, 0, 21292, 49446]\) | \(62851031/36414\) | \(-618439464574974\) | \([]\) | \(1488384\) | \(1.5276\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257754h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 257754h do not have complex multiplication.Modular form 257754.2.a.h
sage: E.q_eigenform(10)