Properties

Label 59850.gh
Number of curves $1$
Conductor $59850$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gh1")
 
E.isogeny_class()
 

Elliptic curves in class 59850.gh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59850.gh1 59850fo1 \([1, -1, 1, 1570, -113043]\) \(23497109375/314399232\) \(-5729926003200\) \([]\) \(138240\) \(1.1288\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59850.gh1 has rank \(1\).

Complex multiplication

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

Modular form 59850.2.a.gh

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