Properties

Label 14700.e
Number of curves $1$
Conductor $14700$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 14700.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14700.e1 14700t1 \([0, -1, 0, -58, 337]\) \(-6400/9\) \(-30870000\) \([]\) \(4608\) \(0.12939\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14700.e1 has rank \(2\).

Complex multiplication

The elliptic curves in class 14700.e do not have complex multiplication.

Modular form 14700.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 3 q^{11} - 6 q^{13} - 6 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display