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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 40749h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40749.a1 | 40749h1 | \([0, -1, 1, -3564, 32258]\) | \(207474688/102789\) | \(2481076579941\) | \([]\) | \(129024\) | \(1.0713\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40749h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40749h do not have complex multiplication.Modular form 40749.2.a.h
sage: E.q_eigenform(10)