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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 11550h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11550.o1 | 11550h1 | \([1, 1, 0, -31405, 2130205]\) | \(-137025597360350785/81819061632\) | \(-2045476540800\) | \([]\) | \(40320\) | \(1.3063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11550h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11550h do not have complex multiplication.Modular form 11550.2.a.h
sage: E.q_eigenform(10)