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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 466578.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.ba1 | 466578ba1 | \([1, -1, 0, -504765, -1204570683]\) | \(-2689684081/117006336\) | \(-618728333647955779584\) | \([]\) | \(15814656\) | \(2.6696\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 466578.ba do not have complex multiplication.Modular form 466578.2.a.ba
sage: E.q_eigenform(10)