Properties

Label 237160.w
Number of curves $1$
Conductor $237160$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 237160.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
237160.w1 237160w1 \([0, -1, 0, 25975, -5061923]\) \(12459008/78125\) \(-12152908460000000\) \([]\) \(1209600\) \(1.7682\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 237160.w1 has rank \(1\).

Complex multiplication

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

Modular form 237160.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{9} - q^{13} - q^{15} + 5 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display