Properties

Label 397488io
Number of curves $1$
Conductor $397488$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("io1")
 
E.isogeny_class()
 

Elliptic curves in class 397488io

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
397488.io1 397488io1 \([0, 1, 0, -996480, -440361804]\) \(-47045881/8736\) \(-20319870098760400896\) \([]\) \(7741440\) \(2.4293\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397488io1 has rank \(0\).

Complex multiplication

The elliptic curves in class 397488io do not have complex multiplication.

Modular form 397488.2.a.io

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