Properties

Label 48672by
Number of curves $1$
Conductor $48672$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("by1")
 
E.isogeny_class()
 

Elliptic curves in class 48672by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
48672.cc1 48672by1 \([0, 0, 0, 312, -5200]\) \(6656/27\) \(-13625044992\) \([]\) \(46080\) \(0.62725\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 48672by1 has rank \(1\).

Complex multiplication

The elliptic curves in class 48672by do not have complex multiplication.

Modular form 48672.2.a.by

sage: E.q_eigenform(10)
 
\(q + 4 q^{5} + 3 q^{7} - 2 q^{11} - 6 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display