Properties

Label 487872w
Number of curves $1$
Conductor $487872$
CM no
Rank $1$

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

Elliptic curves in class 487872w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
487872.w1 487872w1 \([0, 0, 0, 207636, -34787016]\) \(15185664/16807\) \(-1095690982145227776\) \([]\) \(9461760\) \(2.1480\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 487872w1 has rank \(1\).

Complex multiplication

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

Modular form 487872.2.a.w

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