Properties

Label 116242d
Number of curves $1$
Conductor $116242$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 116242d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116242.n1 116242d1 \([1, -1, 0, -41041, -2327587]\) \(162503178993/43853824\) \(2063141785298944\) \([]\) \(1520640\) \(1.6466\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116242d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 116242d do not have complex multiplication.

Modular form 116242.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} + 3 q^{3} + q^{4} - 3 q^{5} - 3 q^{6} - q^{7} - q^{8} + 6 q^{9} + 3 q^{10} - 3 q^{11} + 3 q^{12} + 6 q^{13} + q^{14} - 9 q^{15} + q^{16} - 6 q^{18} + O(q^{20})\) Copy content Toggle raw display