Properties

Label 85176.bc
Number of curves $1$
Conductor $85176$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 85176.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
85176.bc1 85176n1 \([0, 0, 0, -12675, 1348958]\) \(-31250/91\) \(-655781237250048\) \([]\) \(241920\) \(1.5300\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 85176.bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 85176.bc do not have complex multiplication.

Modular form 85176.2.a.bc

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