Properties

Label 21780.w
Number of curves $1$
Conductor $21780$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 21780.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21780.w1 21780c1 \([0, 0, 0, -297, -2079]\) \(-76032/5\) \(-190531440\) \([]\) \(6912\) \(0.34124\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21780.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 21780.w do not have complex multiplication.

Modular form 21780.2.a.w

sage: E.q_eigenform(10)
 
\(q + q^{5} + 6 q^{13} + 7 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display