Properties

Label 448844c
Number of curves $1$
Conductor $448844$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 448844c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
448844.c1 448844c1 \([0, -1, 0, -2747469, 1773796729]\) \(-827392/11\) \(-30493244830486735616\) \([]\) \(10260792\) \(2.5466\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 448844c1 has rank \(1\).

Complex multiplication

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

Modular form 448844.2.a.c

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