Properties

Label 6468.e
Number of curves $1$
Conductor $6468$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 6468.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6468.e1 6468c1 \([0, -1, 0, -93, 393]\) \(-7168000/363\) \(-4553472\) \([]\) \(1008\) \(0.038210\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6468.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6468.e do not have complex multiplication.

Modular form 6468.2.a.e

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