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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 41070u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41070.t1 | 41070u1 | \([1, 1, 1, 77865269, 764831199353]\) | \(401734898254403/2176782336000\) | \(-282898419541751873359872000\) | \([]\) | \(21098880\) | \(3.7577\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41070u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 41070u do not have complex multiplication.Modular form 41070.2.a.u
sage: E.q_eigenform(10)