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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 1264.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1264.h1 | 1264d1 | \([0, 0, 0, -139, -454]\) | \(72511713/20224\) | \(82837504\) | \([]\) | \(768\) | \(0.22657\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1264.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1264.h do not have complex multiplication.Modular form 1264.2.a.h
sage: E.q_eigenform(10)