Properties

Label 62400hq
Number of curves $1$
Conductor $62400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("hq1")
 
E.isogeny_class()
 

Elliptic curves in class 62400hq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
62400.ee1 62400hq1 \([0, 1, 0, -34533, 2458563]\) \(-17790954496/195\) \(-49920000000\) \([]\) \(184320\) \(1.2070\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62400hq1 has rank \(0\).

Complex multiplication

The elliptic curves in class 62400hq do not have complex multiplication.

Modular form 62400.2.a.hq

sage: E.q_eigenform(10)
 
\(q + q^{3} - 5 q^{7} + q^{9} + q^{11} + q^{13} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display