Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 237160g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
237160.g1 237160g1 \([0, 1, 0, -1424936, -762005840]\) \(-15298178/3125\) \(-65361258395910400000\) \([]\) \(7207200\) \(2.5245\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 237160g1 has rank \(0\).

Complex multiplication

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

Modular form 237160.2.a.g

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