Properties

Label 11550.bc
Number of curves $1$
Conductor $11550$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 11550.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11550.bc1 11550ba1 \([1, 0, 1, -116, 488]\) \(-6819690145/336798\) \(-8419950\) \([]\) \(3360\) \(0.090238\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11550.bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11550.bc do not have complex multiplication.

Modular form 11550.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} + q^{7} - q^{8} + q^{9} - q^{11} + q^{12} - 4 q^{13} - q^{14} + q^{16} - q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display