Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 21294.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21294.b1 21294v1 \([1, -1, 0, -143766, -38836472]\) \(-552611137/777924\) \(-462606272438935716\) \([]\) \(399360\) \(2.0819\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21294.b1 has rank \(0\).

Complex multiplication

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

Modular form 21294.2.a.b

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