Properties

Label 59850cz
Number of curves $1$
Conductor $59850$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cz1")
 
E.isogeny_class()
 

Elliptic curves in class 59850cz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59850.b1 59850cz1 \([1, -1, 0, -4992, -34084]\) \(48317985/26068\) \(7423270312500\) \([]\) \(141120\) \(1.1607\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59850cz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 59850cz do not have complex multiplication.

Modular form 59850.2.a.cz

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} - 5 q^{11} - q^{13} + q^{14} + q^{16} + 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display