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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 116886ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116886.be1 | 116886ba1 | \([1, 1, 1, -620914, 188989439]\) | \(-14943832855786297/85501108224\) | \(-151470428786417664\) | \([]\) | \(1996800\) | \(2.1384\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116886ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116886ba do not have complex multiplication.Modular form 116886.2.a.ba
sage: E.q_eigenform(10)