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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 46893.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46893.n1 | 46893m1 | \([1, 0, 1, -116450, 15302795]\) | \(-1484391946907017/1946200179\) | \(-228968504859171\) | \([]\) | \(288000\) | \(1.6622\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46893.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46893.n do not have complex multiplication.Modular form 46893.2.a.n
sage: E.q_eigenform(10)