Properties

Label 212160.bi
Number of curves $1$
Conductor $212160$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 212160.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
212160.bi1 212160dv1 \([0, -1, 0, -2814741, 1822828941]\) \(-150528677004615417856/408725537965875\) \(-6696559214032896000\) \([]\) \(4308480\) \(2.4862\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 212160.bi1 has rank \(0\).

Complex multiplication

The elliptic curves in class 212160.bi do not have complex multiplication.

Modular form 212160.2.a.bi

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 2 q^{7} + q^{9} - 2 q^{11} + q^{13} + q^{15} + q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display