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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 67270.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67270.ba1 | 67270ba1 | \([1, 1, 1, -86541, -9768701]\) | \(2406050132401999/18790481920\) | \(559787246878720\) | \([]\) | \(311808\) | \(1.6584\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67270.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67270.ba do not have complex multiplication.Modular form 67270.2.a.ba
sage: E.q_eigenform(10)