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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 179088bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179088.w1 | 179088bl1 | \([0, -1, 0, -44240, -3565632]\) | \(2337862343841361/913886064\) | \(3743277318144\) | \([]\) | \(387072\) | \(1.3774\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179088bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179088bl do not have complex multiplication.Modular form 179088.2.a.bl
sage: E.q_eigenform(10)