Properties

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

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 7448.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7448.k1 7448p1 \([0, 0, 0, 9604, 1008420]\) \(1354752/6859\) \(-495999419620096\) \([]\) \(20160\) \(1.5020\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7448.k1 has rank \(1\).

Complex multiplication

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

Modular form 7448.2.a.k

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