Properties

Label 400064.p
Number of curves $1$
Conductor $400064$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 400064.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
400064.p1 400064p1 \([0, -1, 0, -609, -9503]\) \(-95443993/100016\) \(-26218594304\) \([]\) \(294912\) \(0.69435\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 400064.p1 has rank \(0\).

Complex multiplication

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

Modular form 400064.2.a.p

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