Properties

Label 1155.i
Number of curves $1$
Conductor $1155$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("1155.i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1155.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1155.i1 1155k1 [0, 1, 1, 545, 2734] [] 784 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1155.i1 has rank \(1\).

Modular form 1155.2.a.i

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