Properties

Label 46893.n
Number of curves $1$
Conductor $46893$
CM no
Rank $0$

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Show commands: 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)
 
\(q + q^{2} + q^{3} - q^{4} - 3 q^{5} + q^{6} - 3 q^{8} + q^{9} - 3 q^{10} - q^{11} - q^{12} + 3 q^{13} - 3 q^{15} - q^{16} - q^{17} + q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display