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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 485100h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485100.h1 | 485100h1 | \([0, 0, 0, -8746500, 10733970625]\) | \(-2817310720/264627\) | \(-6950659586196768750000\) | \([]\) | \(25401600\) | \(2.9331\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 485100h do not have complex multiplication.Modular form 485100.2.a.h
sage: E.q_eigenform(10)