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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 11550.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11550.p1 | 11550j1 | \([1, 1, 0, 133425, 16777125]\) | \(26898633480575/27935373312\) | \(-272806380000000000\) | \([]\) | \(174240\) | \(2.0324\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11550.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11550.p do not have complex multiplication.Modular form 11550.2.a.p
sage: E.q_eigenform(10)