Properties

Label 155771r
Number of curves $1$
Conductor $155771$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 155771r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155771.r1 155771r1 \([0, 0, 1, 28322, -421290]\) \(884736/539\) \(-1530631100996459\) \([]\) \(983040\) \(1.6029\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 155771r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 155771r do not have complex multiplication.

Modular form 155771.2.a.r

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 2 q^{4} - q^{5} + 6 q^{9} + q^{11} + 6 q^{12} + 4 q^{13} + 3 q^{15} + 4 q^{16} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display