Properties

Label 435600hg
Number of curves $1$
Conductor $435600$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("hg1")
 
E.isogeny_class()
 

Elliptic curves in class 435600hg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435600.hg1 435600hg1 \([0, 0, 0, 13200, 110000]\) \(45056/27\) \(-152425152000000\) \([]\) \(921600\) \(1.4108\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435600hg1 has rank \(2\).

Complex multiplication

The elliptic curves in class 435600hg do not have complex multiplication.

Modular form 435600.2.a.hg

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