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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 26775bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26775.a1 | 26775bi1 | \([0, 0, 1, -283125, -15352344]\) | \(352558182400/189724437\) | \(1350674947001953125\) | \([]\) | \(474240\) | \(2.1700\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26775bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26775bi do not have complex multiplication.Modular form 26775.2.a.bi
sage: E.q_eigenform(10)