Properties

Label 7056.bs
Number of curves $1$
Conductor $7056$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bs1")
 
E.isogeny_class()
 

Elliptic curves in class 7056.bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7056.bs1 7056bl1 \([0, 0, 0, 1176, -3332]\) \(401408/243\) \(-108884466432\) \([]\) \(5760\) \(0.80703\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7056.bs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7056.bs do not have complex multiplication.

Modular form 7056.2.a.bs

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} + 2 q^{11} - 3 q^{13} - 8 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display