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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 397488n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397488.n1 | 397488n1 | \([0, -1, 0, -2652175192, -58826902374176]\) | \(-20994006260678308/3063651608241\) | \(-301074789879130069260502926336\) | \([]\) | \(575078400\) | \(4.3867\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397488n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 397488n do not have complex multiplication.Modular form 397488.2.a.n
sage: E.q_eigenform(10)