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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 52325n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52325.n1 | 52325n1 | \([0, 0, 1, -38275, -4038969]\) | \(-396870925750272/221358574619\) | \(-3458727728421875\) | \([]\) | \(803520\) | \(1.6850\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52325n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 52325n do not have complex multiplication.Modular form 52325.2.a.n
sage: E.q_eigenform(10)