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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 2400.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2400.u1 | 2400bd1 | \([0, 1, 0, -173, -6597]\) | \(-5624320/177147\) | \(-18139852800\) | \([]\) | \(2112\) | \(0.64882\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2400.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2400.u do not have complex multiplication.Modular form 2400.2.a.u
sage: E.q_eigenform(10)