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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 40432h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40432.p1 | 40432h1 | \([0, 1, 0, -120, 107]\) | \(92416/49\) | \(102171664\) | \([]\) | \(5760\) | \(0.22831\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40432h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40432h do not have complex multiplication.Modular form 40432.2.a.h
sage: E.q_eigenform(10)