Properties

Label 400064i
Number of curves $1$
Conductor $400064$
CM no
Rank $1$

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

Elliptic curves in class 400064i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
400064.i1 400064i1 \([0, -1, 0, 835, 40429]\) \(62800480256/735423899\) \(-753074072576\) \([]\) \(344064\) \(0.95988\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 400064i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 400064i do not have complex multiplication.

Modular form 400064.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} - 2 q^{9} - 4 q^{11} + 4 q^{13} - q^{15} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display