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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 142956u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142956.bb1 | 142956u1 | \([0, 0, 0, -446367, 114781318]\) | \(145990721706064/5845851\) | \(393842371025664\) | \([]\) | \(787968\) | \(1.8835\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142956u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 142956u do not have complex multiplication.Modular form 142956.2.a.u
sage: E.q_eigenform(10)