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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 249090.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
249090.a1 | 249090a1 | \([1, 1, 0, -3657917703, -68886400846347]\) | \(882855229481914983409/176566071214080000\) | \(1082538281493134334341038080000\) | \([]\) | \(650795904\) | \(4.4792\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 249090.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 249090.a do not have complex multiplication.Modular form 249090.2.a.a
sage: E.q_eigenform(10)