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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 11550.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11550.s1 | 11550bb1 | \([1, 0, 1, -1, -52]\) | \(-25/1848\) | \(-1155000\) | \([]\) | \(2016\) | \(-0.15781\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11550.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11550.s do not have complex multiplication.Modular form 11550.2.a.s
sage: E.q_eigenform(10)