Properties

Label 133200.r
Number of curves $1$
Conductor $133200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 133200.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
133200.r1 133200d1 \([0, 0, 0, -3000, -312500]\) \(-8192/111\) \(-40459500000000\) \([]\) \(353280\) \(1.2925\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 133200.r1 has rank \(1\).

Complex multiplication

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

Modular form 133200.2.a.r

sage: E.q_eigenform(10)
 
\(q - 4 q^{7} + 6 q^{11} + q^{13} - 4 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display