Properties

Label 237160i
Number of curves $1$
Conductor $237160$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 237160i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
237160.i1 237160i1 \([0, 1, 0, 21740, -4961475]\) \(12544/125\) \(-11322864812182000\) \([]\) \(1368576\) \(1.7616\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 237160i1 has rank \(1\).

Complex multiplication

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

Modular form 237160.2.a.i

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{5} + q^{9} + 3 q^{13} - 2 q^{15} - 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display