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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 258570.bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
258570.bl1 | 258570bl1 | \([1, -1, 0, -6525, -197339]\) | \(249395415529/5508000\) | \(678591108000\) | \([]\) | \(460800\) | \(1.0581\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 258570.bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 258570.bl do not have complex multiplication.Modular form 258570.2.a.bl
sage: E.q_eigenform(10)