Properties

Label 271040cj
Number of curves $1$
Conductor $271040$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cj1")
 
E.isogeny_class()
 

Elliptic curves in class 271040cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
271040.cj1 271040cj1 \([0, -1, 0, -645, 49117]\) \(-1024/35\) \(-1015883939840\) \([]\) \(304640\) \(0.98419\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 271040cj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 271040cj do not have complex multiplication.

Modular form 271040.2.a.cj

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} - 2 q^{9} + q^{13} - q^{15} - 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display