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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 146523p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
146523.k1 | 146523p1 | \([1, 1, 1, -13132064, 18286218218]\) | \(81721188208261/129140163\) | \(395775898715596543911\) | \([]\) | \(12984192\) | \(2.8504\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 146523p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 146523p do not have complex multiplication.Modular form 146523.2.a.p
sage: E.q_eigenform(10)