Properties

Label 344800.f
Number of curves $1$
Conductor $344800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 344800.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344800.f1 344800f1 \([0, -1, 0, -158, 1312]\) \(-438976/431\) \(-431000000\) \([]\) \(107520\) \(0.35272\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344800.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 344800.f do not have complex multiplication.

Modular form 344800.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} + 4 q^{7} - 2 q^{9} - q^{11} + 2 q^{13} + 8 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display