Properties

Label 155526.d
Number of curves $1$
Conductor $155526$
CM no
Rank $1$

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

Elliptic curves in class 155526.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155526.d1 155526cu1 \([1, 1, 0, -24240619, 45894377341]\) \(25311095642246736793/20804234379264\) \(1294779008987110047744\) \([]\) \(17031168\) \(2.9798\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 155526.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 155526.d do not have complex multiplication.

Modular form 155526.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - 3 q^{5} + q^{6} - q^{8} + q^{9} + 3 q^{10} + 2 q^{11} - q^{12} + 3 q^{15} + q^{16} - 7 q^{17} - q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display