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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 11550.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11550.cd1 | 11550bv1 | \([1, 1, 1, -1288, -18349]\) | \(-9452623635625/12201882\) | \(-305047050\) | \([]\) | \(9120\) | \(0.53555\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11550.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11550.cd do not have complex multiplication.Modular form 11550.2.a.cd
sage: E.q_eigenform(10)