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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 1764.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1764.h1 | 1764d1 | \([0, 0, 0, 1176, 3332]\) | \(401408/243\) | \(-108884466432\) | \([]\) | \(1440\) | \(0.80703\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1764.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1764.h do not have complex multiplication.Modular form 1764.2.a.h
sage: E.q_eigenform(10)