Properties

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

Related objects

Downloads

Learn more

Show commands for: SageMath
sage: E = EllipticCurve("b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7056.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7056.b1 7056d1 \([0, 0, 0, -111132, -14261940]\) \(-5225472\) \(-29047955989248\) \([]\) \(40320\) \(1.5841\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7056.b1 has rank \(1\).

Complex multiplication

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

Modular form 7056.2.a.b

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