Properties

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

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Show commands: SageMath
E = EllipticCurve("lm1")
 
E.isogeny_class()
 

Elliptic curves in class 487872.lm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
487872.lm1 487872lm1 \([0, 0, 0, -9372, 378488]\) \(-91625216/9261\) \(-9201601575936\) \([]\) \(884736\) \(1.2275\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 487872.lm1 has rank \(1\).

Complex multiplication

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

Modular form 487872.2.a.lm

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