Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 29988.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29988.v1 29988ba1 \([0, 0, 0, 105, -434]\) \(14000/17\) \(-155457792\) \([]\) \(8640\) \(0.25798\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29988.v1 has rank \(0\).

Complex multiplication

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

Modular form 29988.2.a.v

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