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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 450800ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.ba1 | 450800ba1 | \([0, 1, 0, -14373, 660883]\) | \(-5451776/23\) | \(-1385434624000\) | \([]\) | \(846720\) | \(1.1844\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450800ba do not have complex multiplication.Modular form 450800.2.a.ba
sage: E.q_eigenform(10)