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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 12274n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12274.n1 | 12274n1 | \([1, 1, 1, -167331, -26880703]\) | \(-30508741009/628864\) | \(-10680351388215424\) | \([]\) | \(86184\) | \(1.8670\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12274n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12274n do not have complex multiplication.Modular form 12274.2.a.n
sage: E.q_eigenform(10)