Properties

Label 129600.hr
Number of curves $1$
Conductor $129600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("hr1")
 
E.isogeny_class()
 

Elliptic curves in class 129600.hr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129600.hr1 129600bu1 \([0, 0, 0, -300, -1000]\) \(2304\) \(1296000000\) \([]\) \(53760\) \(0.44470\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129600.hr1 has rank \(1\).

Complex multiplication

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

Modular form 129600.2.a.hr

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} - 5 q^{11} - 5 q^{13} + 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display