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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 9792.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9792.u1 | 9792bg1 | \([0, 0, 0, 432, 864]\) | \(27648/17\) | \(-5482266624\) | \([]\) | \(3072\) | \(0.55789\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9792.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9792.u do not have complex multiplication.Modular form 9792.2.a.u
sage: E.q_eigenform(10)