Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 21294.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21294.d1 21294u1 \([1, -1, 0, -28131, 1823381]\) \(-19983597574473/3670016\) \(-452149641216\) \([]\) \(63840\) \(1.2393\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21294.d1 has rank \(0\).

Complex multiplication

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

Modular form 21294.2.a.d

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