Properties

Label 155.c
Number of curves $1$
Conductor $155$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 155.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155.c1 155c1 \([0, -1, 1, -1, 1]\) \(-262144/155\) \(-155\) \([]\) \(4\) \(-0.87724\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 155.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 155.c do not have complex multiplication.

Modular form 155.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} - q^{5} - 2 q^{9} - 4 q^{11} + 2 q^{12} - 6 q^{13} + q^{15} + 4 q^{16} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display