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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 88200ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.hi1 | 88200ba1 | \([0, 0, 0, -661500, 208372500]\) | \(-138240\) | \(-231568526700000000\) | \([]\) | \(1088640\) | \(2.1640\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88200ba do not have complex multiplication.Modular form 88200.2.a.ba
sage: E.q_eigenform(10)