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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 388080n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388080.n1 | 388080n1 | \([0, 0, 0, -60234573, 179935509103]\) | \(-359442469227794176/9021375\) | \(-606603018431718000\) | \([]\) | \(23224320\) | \(2.9298\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388080n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388080n do not have complex multiplication.Modular form 388080.2.a.n
sage: E.q_eigenform(10)