Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bv1")
 
E.isogeny_class()
 

Elliptic curves in class 85176.bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
85176.bv1 85176cb1 \([0, 0, 0, 72501, -1656538]\) \(34606/21\) \(-25575468252751872\) \([]\) \(499200\) \(1.8376\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 85176.bv1 has rank \(0\).

Complex multiplication

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

Modular form 85176.2.a.bv

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