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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 6672.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6672.n1 | 6672n1 | \([0, 1, 0, 32, 116]\) | \(857375/1668\) | \(-6832128\) | \([]\) | \(1152\) | \(-0.0040244\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6672.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6672.n do not have complex multiplication.Modular form 6672.2.a.n
sage: E.q_eigenform(10)