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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 111012.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111012.h1 | 111012f1 | \([0, 1, 0, -309, -3321]\) | \(-15204352/11979\) | \(-2579030784\) | \([]\) | \(73440\) | \(0.50444\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111012.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 111012.h do not have complex multiplication.Modular form 111012.2.a.h
sage: E.q_eigenform(10)