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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 4225.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4225.n1 | 4225d1 | \([1, 1, 0, 10, 5]\) | \(1715\) | \(-54925\) | \([]\) | \(432\) | \(-0.40109\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4225.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4225.n do not have complex multiplication.Modular form 4225.2.a.n
sage: E.q_eigenform(10)