Properties

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

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Show commands: SageMath
E = EllipticCurve("cv1")
 
E.isogeny_class()
 

Elliptic curves in class 59850cv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59850.ba1 59850cv1 \([1, -1, 0, 39258, -14091084]\) \(23497109375/314399232\) \(-89530093800000000\) \([]\) \(691200\) \(1.9335\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59850cv1 has rank \(0\).

Complex multiplication

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

Modular form 59850.2.a.cv

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