Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 7448.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7448.f1 7448o1 \([0, 1, 0, -457, -9045]\) \(-7168/19\) \(-28039992064\) \([]\) \(4032\) \(0.69227\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7448.f1 has rank \(1\).

Complex multiplication

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

Modular form 7448.2.a.f

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + 2 q^{5} + q^{9} - q^{11} - 4 q^{13} - 4 q^{15} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display