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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 426888.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.ba1 | 426888ba1 | \([0, 0, 0, -1313004, 542059364]\) | \(274717696/19683\) | \(17936038048989037824\) | \([]\) | \(9289728\) | \(2.4413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 426888.ba do not have complex multiplication.Modular form 426888.2.a.ba
sage: E.q_eigenform(10)