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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 42042.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42042.u1 | 42042b1 | \([1, 1, 0, -10511, 410607]\) | \(-22281070777/11154\) | \(-64300590354\) | \([]\) | \(94080\) | \(1.0266\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42042.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 42042.u do not have complex multiplication.Modular form 42042.2.a.u
sage: E.q_eigenform(10)