Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 7448.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7448.p1 7448t1 \([0, -1, 0, -9, 29]\) \(-7168/19\) \(-238336\) \([]\) \(576\) \(-0.28069\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7448.p1 has rank \(1\).

Complex multiplication

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

Modular form 7448.2.a.p

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