Properties

Label 21294.cv
Number of curves $1$
Conductor $21294$
CM no
Rank $0$

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

Elliptic curves in class 21294.cv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21294.cv1 21294cn1 \([1, -1, 1, -152836196, 731454676359]\) \(-112205650221491190337/745029571313664\) \(-2621568155820459774050304\) \([]\) \(6397440\) \(3.5211\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21294.cv1 has rank \(0\).

Complex multiplication

The elliptic curves in class 21294.cv do not have complex multiplication.

Modular form 21294.2.a.cv

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 3 q^{5} + q^{7} + q^{8} + 3 q^{10} + q^{11} + q^{14} + q^{16} - 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display