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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 5808.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5808.h1 | 5808q1 | \([0, -1, 0, -216, -1296]\) | \(-2259169/324\) | \(-160579584\) | \([]\) | \(2304\) | \(0.30527\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5808.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5808.h do not have complex multiplication.Modular form 5808.2.a.h
sage: E.q_eigenform(10)