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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 11550.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11550.bo1 | 11550bx1 | \([1, 1, 1, -2888, 61031]\) | \(-6819690145/336798\) | \(-131561718750\) | \([]\) | \(16800\) | \(0.89496\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11550.bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11550.bo do not have complex multiplication.Modular form 11550.2.a.bo
sage: E.q_eigenform(10)