Properties

Label 487872.ke
Number of curves $1$
Conductor $487872$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ke1")
 
E.isogeny_class()
 

Elliptic curves in class 487872.ke

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
487872.ke1 487872ke1 \([0, 0, 0, -1452, 95832]\) \(-6912/77\) \(-3771469126656\) \([]\) \(491520\) \(1.0952\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 487872.ke1 has rank \(0\).

Complex multiplication

The elliptic curves in class 487872.ke do not have complex multiplication.

Modular form 487872.2.a.ke

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