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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 303450.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.h1 | 303450h1 | \([1, 1, 0, -5202150, 5007364500]\) | \(-142843688929/16800000\) | \(-1831136328262500000000\) | \([]\) | \(18800640\) | \(2.8158\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303450.h do not have complex multiplication.Modular form 303450.2.a.h
sage: E.q_eigenform(10)