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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 479808ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
479808.ba1 | 479808ba1 | \([0, 0, 0, -325164, 74488624]\) | \(-986078/51\) | \(-196648206945878016\) | \([]\) | \(5275648\) | \(2.0783\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 479808ba do not have complex multiplication.Modular form 479808.2.a.ba
sage: E.q_eigenform(10)