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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 111090.bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111090.bl1 | 111090bi1 | \([1, 0, 1, -2783, 56306]\) | \(-4503843737689/4032000\) | \(-2132928000\) | \([]\) | \(103680\) | \(0.71478\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111090.bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 111090.bl do not have complex multiplication.Modular form 111090.2.a.bl
sage: E.q_eigenform(10)