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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 320892ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
320892.ba1 | 320892ba1 | \([0, 1, 0, -191220, -34992828]\) | \(-14091086416/1449981\) | \(-79568973985602816\) | \([]\) | \(2534400\) | \(1.9825\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 320892ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 320892ba do not have complex multiplication.Modular form 320892.2.a.ba
sage: E.q_eigenform(10)