Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 21294i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21294.w1 21294i1 \([1, -1, 0, -18537, -646021]\) \(43875/14\) \(224784388940202\) \([]\) \(74880\) \(1.4576\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21294i1 has rank \(0\).

Complex multiplication

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

Modular form 21294.2.a.i

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