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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 402930h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
402930.h1 | 402930h1 | \([1, -1, 0, 8145, 458365]\) | \(46268279/97680\) | \(-126150591211920\) | \([]\) | \(1290240\) | \(1.3900\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 402930h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 402930h do not have complex multiplication.Modular form 402930.2.a.h
sage: E.q_eigenform(10)