Properties

Label 202160.bd
Number of curves $1$
Conductor $202160$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 202160.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
202160.bd1 202160m1 \([0, -1, 0, -43440, -20151488]\) \(-130321/2450\) \(-170433451829043200\) \([]\) \(1707264\) \(1.9875\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 202160.bd1 has rank \(0\).

Complex multiplication

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

Modular form 202160.2.a.bd

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} - 2 q^{9} + 5 q^{11} - q^{15} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display