Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("n1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7448.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7448.n1 7448a1 \([0, 0, 0, 49, 98]\) \(21168/19\) \(-11678464\) \([]\) \(1152\) \(0.043487\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7448.n1 has rank \(1\).

Complex multiplication

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

Modular form 7448.2.a.n

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} - 3 q^{9} - q^{11} - 6 q^{17} - q^{19} + O(q^{20})\)  Toggle raw display