Properties

Label 309168.bm
Number of curves $1$
Conductor $309168$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 309168.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
309168.bm1 309168bm1 \([0, 0, 0, -38667, -2919238]\) \(2141202151369/6200536\) \(18514701287424\) \([]\) \(622080\) \(1.4166\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 309168.bm1 has rank \(0\).

Complex multiplication

The elliptic curves in class 309168.bm do not have complex multiplication.

Modular form 309168.2.a.bm

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