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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 11550q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11550.k1 | 11550q1 | \([1, 1, 0, -3075, 82125]\) | \(-8236063705/2927232\) | \(-1143450000000\) | \([]\) | \(30240\) | \(1.0247\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11550q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11550q do not have complex multiplication.Modular form 11550.2.a.q
sage: E.q_eigenform(10)