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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 32760.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32760.h1 | 32760bd1 | \([0, 0, 0, -7563, 288038]\) | \(-32044133522/5462275\) | \(-8155132876800\) | \([]\) | \(67200\) | \(1.2040\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32760.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32760.h do not have complex multiplication.Modular form 32760.2.a.h
sage: E.q_eigenform(10)