Properties

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

Related objects

Downloads

Learn more

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

Elliptic curves in class 1155.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1155.g1 1155d1 \([0, -1, 1, -131, 1916]\) \(-250523582464/1369738755\) \(-1369738755\) \([]\) \(400\) \(0.43722\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

The elliptic curves in class 1155.g do not have complex multiplication.

Modular form 1155.2.a.g

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