Properties

Label 155526dh
Number of curves $1$
Conductor $155526$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dh1")
 
E.isogeny_class()
 

Elliptic curves in class 155526dh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155526.r1 155526dh1 \([1, 1, 0, 34639, -10311027]\) \(633631943/6716184\) \(-48717577187251224\) \([]\) \(2128896\) \(1.8831\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 155526dh1 has rank \(1\).

Complex multiplication

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

Modular form 155526.2.a.dh

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