Properties

Label 448844.d
Number of curves $1$
Conductor $448844$
CM no
Rank $1$

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

Elliptic curves in class 448844.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
448844.d1 448844d1 \([0, 1, 0, -269, 1631]\) \(-827392/11\) \(-28726016\) \([]\) \(101592\) \(0.23899\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 448844.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 448844.d do not have complex multiplication.

Modular form 448844.2.a.d

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{5} + 4 q^{7} - 2 q^{9} + q^{11} + 4 q^{13} - 2 q^{15} + 6 q^{17} + O(q^{20})\) Copy content Toggle raw display