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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 405600u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.u1 | 405600u1 | \([0, -1, 0, 19750467, 7178908437]\) | \(2758136205824/1668346875\) | \(-515378669527800000000000\) | \([]\) | \(38707200\) | \(3.2392\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 405600u do not have complex multiplication.Modular form 405600.2.a.u
sage: E.q_eigenform(10)