Properties

Label 352800.lx
Number of curves $1$
Conductor $352800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("lx1")
 
E.isogeny_class()
 

Elliptic curves in class 352800.lx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
352800.lx1 352800lx1 \([0, 0, 0, 88200, 18522000]\) \(13824/35\) \(-192116111040000000\) \([]\) \(3096576\) \(2.0002\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 352800.lx1 has rank \(0\).

Complex multiplication

The elliptic curves in class 352800.lx do not have complex multiplication.

Modular form 352800.2.a.lx

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