Properties

Label 21175.bj
Number of curves $1$
Conductor $21175$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 21175.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21175.bj1 21175bj1 \([1, -1, 0, -292, 941]\) \(36479025/16807\) \(1271029375\) \([]\) \(18000\) \(0.44166\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21175.bj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 21175.bj do not have complex multiplication.

Modular form 21175.2.a.bj

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