Properties

Label 94640x
Number of curves $1$
Conductor $94640$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 94640x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
94640.ck1 94640x1 \([0, 1, 0, -225, -10165]\) \(-1024/35\) \(-43248208640\) \([]\) \(74880\) \(0.72114\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 94640x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 94640x do not have complex multiplication.

Modular form 94640.2.a.x

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - q^{7} - 2 q^{9} - 5 q^{11} + q^{15} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display