Properties

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

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 133200.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
133200.bg1 133200bv1 \([0, 0, 0, -120000, -52450000]\) \(-6553600/36963\) \(-1077841080000000000\) \([]\) \(1658880\) \(2.1441\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 133200.bg1 has rank \(1\).

Complex multiplication

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

Modular form 133200.2.a.bg

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} + 4 q^{11} + 5 q^{13} + 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display