Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("1155.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1155i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1155.b1 1155i1 [0, 1, 1, -126, 506] [] 336 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Modular form 1155.2.a.b

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