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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 151725.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
151725.n1 | 151725e1 | \([0, 1, 1, 3542, -200006]\) | \(1740800/7203\) | \(-20328779296875\) | \([]\) | \(449280\) | \(1.2362\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 151725.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 151725.n do not have complex multiplication.Modular form 151725.2.a.n
sage: E.q_eigenform(10)