Properties

Label 217672i
Number of curves $1$
Conductor $217672$
CM no
Rank $0$

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

Elliptic curves in class 217672i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
217672.o1 217672i1 \([0, 1, 0, -185449, 46217419]\) \(-570820369408/418447211\) \(-517059779604402944\) \([]\) \(2365440\) \(2.0984\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 217672i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 217672i do not have complex multiplication.

Modular form 217672.2.a.i

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{5} + q^{7} - 2 q^{9} + 5 q^{11} + 3 q^{15} - 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display