Properties

Label 7448.e
Number of curves $1$
Conductor $7448$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 7448.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7448.e1 7448u1 \([0, 1, 0, 5, 6]\) \(14336/19\) \(-14896\) \([]\) \(384\) \(-0.51343\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7448.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7448.e do not have complex multiplication.

Modular form 7448.2.a.e

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{5} + q^{9} + 3 q^{11} + 2 q^{13} - 2 q^{15} + 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display