Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 29988u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29988.u1 29988u1 \([0, 0, 0, 5145, 148862]\) \(14000/17\) \(-18289453771008\) \([]\) \(60480\) \(1.2309\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29988u1 has rank \(0\).

Complex multiplication

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

Modular form 29988.2.a.u

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