Properties

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

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Show commands: SageMath
E = EllipticCurve("ju1")
 
E.isogeny_class()
 

Elliptic curves in class 487872.ju

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
487872.ju1 487872ju1 \([0, 0, 0, -25212, 1535578]\) \(313944395776/1240029\) \(7000429955904\) \([]\) \(1351680\) \(1.3220\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 487872.ju1 has rank \(1\).

Complex multiplication

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

Modular form 487872.2.a.ju

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} - 6 q^{13} - 7 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display