Properties

Label 1155b
Number of curves $1$
Conductor $1155$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("1155.n1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1155b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1155.n1 1155b1 [0, -1, 1, 8294, 284721] [] 4368 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1155b1 has rank \(1\).

Modular form 1155.2.a.n

sage: E.q_eigenform(10)
 
\( q + 2q^{2} - q^{3} + 2q^{4} - q^{5} - 2q^{6} - q^{7} + q^{9} - 2q^{10} - q^{11} - 2q^{12} - 2q^{13} - 2q^{14} + q^{15} - 4q^{16} - 3q^{17} + 2q^{18} - 5q^{19} + O(q^{20}) \)