Properties

Label 29988.g
Number of curves $1$
Conductor $29988$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 29988.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29988.g1 29988r1 \([0, 0, 0, -281799, 57578094]\) \(10023392043504/17\) \(4197360384\) \([]\) \(95040\) \(1.5363\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29988.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 29988.g do not have complex multiplication.

Modular form 29988.2.a.g

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + 4 q^{11} - q^{13} + q^{17} + O(q^{20})\) Copy content Toggle raw display