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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 118354n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118354.m1 | 118354n1 | \([1, 1, 1, -43, 93]\) | \(-2529625/68\) | \(-236708\) | \([]\) | \(17280\) | \(-0.18690\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118354n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 118354n do not have complex multiplication.Modular form 118354.2.a.n
sage: E.q_eigenform(10)