Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 7448.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7448.d1 7448h1 \([0, 1, 0, -100, -624]\) \(-8904784/6859\) \(-86039296\) \([]\) \(2304\) \(0.22136\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7448.d1 has rank \(1\).

Complex multiplication

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

Modular form 7448.2.a.d

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{5} + q^{9} - 3 q^{11} - 6 q^{13} - 2 q^{15} + 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display