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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 150075.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.n1 | 150075p1 | \([0, 0, 1, -137248050, -618831497844]\) | \(25101212833837967048704/2339617030153125\) | \(26649700234087939453125\) | \([]\) | \(16128000\) | \(3.3410\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 150075.n do not have complex multiplication.Modular form 150075.2.a.n
sage: E.q_eigenform(10)