Properties

Label 78400.bn
Number of curves $1$
Conductor $78400$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bn1")
 
E.isogeny_class()
 

Elliptic curves in class 78400.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
78400.bn1 78400cu1 \([0, 1, 0, -1633, -31137]\) \(-19208/5\) \(-125440000000\) \([]\) \(64512\) \(0.84661\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 78400.bn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 78400.bn do not have complex multiplication.

Modular form 78400.2.a.bn

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