Properties

Label 202160.c
Number of curves $1$
Conductor $202160$
CM no
Rank $1$

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

Elliptic curves in class 202160.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
202160.c1 202160a1 \([0, 0, 0, -110827, 56284954]\) \(-781229961/6650000\) \(-1281454525030400000\) \([]\) \(4147200\) \(2.1572\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 202160.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 202160.c do not have complex multiplication.

Modular form 202160.2.a.c

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} + q^{7} + 6 q^{9} + 4 q^{13} - 3 q^{15} + q^{17} + O(q^{20})\) Copy content Toggle raw display