Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 7056.cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7056.cb1 7056c1 \([0, 0, 0, -12348, 528220]\) \(-5225472\) \(-39846304512\) \([]\) \(13440\) \(1.0348\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7056.cb1 has rank \(1\).

Complex multiplication

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

Modular form 7056.2.a.cb

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