Properties

Label 58800.bc
Number of curves $1$
Conductor $58800$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 58800.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.bc1 58800go1 \([0, -1, 0, -45733, -3817463]\) \(-11468800/243\) \(-224135462880000\) \([]\) \(211680\) \(1.5440\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58800.bc do not have complex multiplication.

Modular form 58800.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 2 q^{11} - 2 q^{13} + 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display