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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 11913.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11913.h1 | 11913g1 | \([1, 0, 1, -19863, -832301]\) | \(51026761/11979\) | \(203446101668139\) | \([]\) | \(41040\) | \(1.4573\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11913.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11913.h do not have complex multiplication.Modular form 11913.2.a.h
sage: E.q_eigenform(10)