Properties

Label 392784z
Number of curves $1$
Conductor $392784$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 392784z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
392784.z1 392784z1 \([0, -1, 0, 959600, 283194304]\) \(84460496351/78889464\) \(-91276578762246291456\) \([]\) \(10160640\) \(2.5172\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 392784z1 has rank \(0\).

Complex multiplication

The elliptic curves in class 392784z do not have complex multiplication.

Modular form 392784.2.a.z

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} + q^{13} - q^{15} + 6 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display