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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 58800.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.ba1 | 58800x1 | \([0, -1, 0, 9685912, 20197215312]\) | \(16683494528422270/38919722282469\) | \(-234437960028682003507200\) | \([]\) | \(6386688\) | \(3.1683\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800.ba do not have complex multiplication.Modular form 58800.2.a.ba
sage: E.q_eigenform(10)