Properties

Label 14784.v
Number of curves $1$
Conductor $14784$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 14784.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14784.v1 14784s1 \([0, -1, 0, -225, 3753]\) \(-1235663104/4991679\) \(-5111479296\) \([]\) \(7680\) \(0.54820\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14784.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14784.v do not have complex multiplication.

Modular form 14784.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} + q^{9} + q^{11} + 5 q^{13} - q^{15} - 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display