Properties

Label 78400fv
Number of curves $1$
Conductor $78400$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("fv1")
 
E.isogeny_class()
 

Elliptic curves in class 78400fv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
78400.y1 78400fv1 \([0, 0, 0, -563500, -176027600]\) \(-1026590625/100352\) \(-1934346231480320000\) \([]\) \(2433024\) \(2.2498\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 78400fv1 has rank \(1\).

Complex multiplication

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

Modular form 78400.2.a.fv

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 6 q^{9} + 5 q^{11} - 6 q^{13} + q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display