Properties

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

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Show commands: SageMath
E = EllipticCurve("hf1")
 
E.isogeny_class()
 

Elliptic curves in class 129600.hf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129600.hf1 129600v1 \([0, 0, 0, -75, 500]\) \(-576\) \(-81000000\) \([]\) \(26880\) \(0.20798\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129600.hf1 has rank \(1\).

Complex multiplication

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

Modular form 129600.2.a.hf

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