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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 12200.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12200.n1 | 12200f1 | \([0, -1, 0, 632, -10068]\) | \(108879878/226981\) | \(-58107136000\) | \([]\) | \(9792\) | \(0.74980\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12200.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12200.n do not have complex multiplication.Modular form 12200.2.a.n
sage: E.q_eigenform(10)