Properties

Label 71148bw
Number of curves $1$
Conductor $71148$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bw1")
 
E.isogeny_class()
 

Elliptic curves in class 71148bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
71148.bl1 71148bw1 \([0, 1, 0, -110700, 14139684]\) \(-8985792737264/2187\) \(-36514291968\) \([]\) \(387072\) \(1.4039\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71148bw1 has rank \(2\).

Complex multiplication

The elliptic curves in class 71148bw do not have complex multiplication.

Modular form 71148.2.a.bw

sage: E.q_eigenform(10)
 
\(q + q^{3} - 4 q^{5} + q^{9} + 4 q^{13} - 4 q^{15} - 3 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display