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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 3024.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3024.u1 | 3024t1 | \([0, 0, 0, -432, 432]\) | \(12288/7\) | \(5079158784\) | \([]\) | \(1440\) | \(0.55219\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3024.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3024.u do not have complex multiplication.Modular form 3024.2.a.u
sage: E.q_eigenform(10)