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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 208725.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
208725.ba1 | 208725r1 | \([1, 0, 0, -1846523, -965934078]\) | \(15721420060947505/79827687\) | \(3535490425235175\) | \([]\) | \(3427200\) | \(2.1813\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 208725.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 208725.ba do not have complex multiplication.Modular form 208725.2.a.ba
sage: E.q_eigenform(10)