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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 123627n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
123627.n1 | 123627n1 | \([1, 0, 0, -148, 1259]\) | \(-177625/243\) | \(-490675563\) | \([]\) | \(46800\) | \(0.36014\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 123627n1 has rank \(2\).
Complex multiplication
The elliptic curves in class 123627n do not have complex multiplication.Modular form 123627.2.a.n
sage: E.q_eigenform(10)