Properties

Label 435120.z
Number of curves $1$
Conductor $435120$
CM no
Rank $0$

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

Elliptic curves in class 435120.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435120.z1 435120z1 \([0, -1, 0, -13246, 611395]\) \(-327864720929536/13272738975\) \(-10405827356400\) \([]\) \(1002240\) \(1.2657\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435120.z1 has rank \(0\).

Complex multiplication

The elliptic curves in class 435120.z do not have complex multiplication.

Modular form 435120.2.a.z

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + 6 q^{13} + q^{15} - q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display