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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 216384.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
216384.h1 | 216384cm1 | \([0, -1, 0, -2154497, 1221469089]\) | \(-14936239633/50301\) | \(-3724748390386630656\) | \([]\) | \(4816896\) | \(2.4278\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216384.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 216384.h do not have complex multiplication.Modular form 216384.2.a.h
sage: E.q_eigenform(10)