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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 290145ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
290145.ba1 | 290145ba1 | \([0, -1, 1, -26631386, -52888530883]\) | \(3511697101967355904/41026753125\) | \(24403669543659628125\) | \([]\) | \(32659200\) | \(2.8708\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 290145ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 290145ba do not have complex multiplication.Modular form 290145.2.a.ba
sage: E.q_eigenform(10)