Properties

Label 129600fk
Number of curves $1$
Conductor $129600$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("fk1")
 
E.isogeny_class()
 

Elliptic curves in class 129600fk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129600.ei1 129600fk1 \([0, 0, 0, -300, 1750]\) \(36864/5\) \(405000000\) \([]\) \(46080\) \(0.37880\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129600fk1 has rank \(2\).

Complex multiplication

The elliptic curves in class 129600fk do not have complex multiplication.

Modular form 129600.2.a.fk

sage: E.q_eigenform(10)
 
\(q - 5 q^{11} + 4 q^{13} - 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display