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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 2366.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2366.h1 | 2366g1 | \([1, -1, 0, 560, -8722]\) | \(4019679/8918\) | \(-43045482662\) | \([]\) | \(6048\) | \(0.72462\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2366.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2366.h do not have complex multiplication.Modular form 2366.2.a.h
sage: E.q_eigenform(10)