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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 259182.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.a1 | 259182a1 | \([1, -1, 0, 1633296, -5027953276]\) | \(1672076814404733/38858425153436\) | \(-11198174447182277817108\) | \([]\) | \(27751680\) | \(2.9111\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259182.a do not have complex multiplication.Modular form 259182.2.a.a
sage: E.q_eigenform(10)