Properties

Label 355740.v
Number of curves $1$
Conductor $355740$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 355740.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
355740.v1 355740v1 \([0, -1, 0, -24845, -8175495]\) \(-8192/135\) \(-27951300564929280\) \([]\) \(2737152\) \(1.8370\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 355740.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 355740.v do not have complex multiplication.

Modular form 355740.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} - 4 q^{13} - q^{15} - 5 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display