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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 400710.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
400710.u1 | 400710u1 | \([1, 0, 1, -37913, -2876644]\) | \(-128100283921/1687200\) | \(-79375810423200\) | \([]\) | \(1728000\) | \(1.4753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 400710.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 400710.u do not have complex multiplication.Modular form 400710.2.a.u
sage: E.q_eigenform(10)