Properties

Label 162288.c
Number of curves $1$
Conductor $162288$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 162288.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162288.c1 162288a1 \([0, 0, 0, 32928, -2352980]\) \(524288/621\) \(-4676720914268928\) \([]\) \(903168\) \(1.6930\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162288.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 162288.c do not have complex multiplication.

Modular form 162288.2.a.c

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} - 3 q^{11} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display