Properties

Label 1155.g
Number of curves 1
Conductor 1155
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("1155.g1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1155.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1155.g1 1155d1 [0, -1, 1, -131, 1916] [] 400 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1155.g1 has rank \(1\).

Modular form 1155.2.a.g

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