Properties

Label 237160ba
Number of curves $1$
Conductor $237160$
CM no
Rank $0$

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

Elliptic curves in class 237160ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
237160.ba1 237160ba1 \([0, -1, 0, -719385, 235540285]\) \(-2249728/5\) \(-91505761754274560\) \([]\) \(3198720\) \(2.1373\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 237160ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 237160ba do not have complex multiplication.

Modular form 237160.2.a.ba

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