Properties

Label 133952.ba
Number of curves $1$
Conductor $133952$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 133952.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
133952.ba1 133952o1 \([0, -1, 0, -1925, -32291]\) \(-48174982144/717899\) \(-11762057216\) \([]\) \(90112\) \(0.73586\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 133952.ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 133952.ba do not have complex multiplication.

Modular form 133952.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} - 2 q^{9} - 5 q^{11} - q^{13} - q^{15} - 2 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display