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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 290145p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
290145.p1 | 290145p1 | \([0, -1, 1, -2455, 33111]\) | \(67121414144/20371905\) | \(496850391045\) | \([]\) | \(305536\) | \(0.94932\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 290145p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 290145p do not have complex multiplication.Modular form 290145.2.a.p
sage: E.q_eigenform(10)