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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 14651n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14651.a1 | 14651n1 | \([0, 0, 1, -75019, 11082930]\) | \(-396870925750272/221358574619\) | \(-26042614945350731\) | \([]\) | \(357120\) | \(1.8532\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14651n1 has rank \(2\).
Complex multiplication
The elliptic curves in class 14651n do not have complex multiplication.Modular form 14651.2.a.n
sage: E.q_eigenform(10)