Properties

Label 133200cy
Number of curves $1$
Conductor $133200$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("cy1")
 
E.isogeny_class()
 

Elliptic curves in class 133200cy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
133200.el1 133200cy1 \([0, 0, 0, 5325, -580750]\) \(357911/3330\) \(-155364480000000\) \([]\) \(368640\) \(1.4043\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 133200cy1 has rank \(2\).

Complex multiplication

The elliptic curves in class 133200cy do not have complex multiplication.

Modular form 133200.2.a.cy

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