Properties

Label 488072w
Number of curves $1$
Conductor $488072$
CM no
Rank $0$

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

Elliptic curves in class 488072w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
488072.w1 488072w1 \([0, 1, 0, -25888152, 50690376101]\) \(1462911232\) \(1311622639013858704\) \([]\) \(19649952\) \(2.7915\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 488072w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 488072w do not have complex multiplication.

Modular form 488072.2.a.w

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{5} - 2 q^{9} + 4 q^{11} - 3 q^{15} - 5 q^{17} + O(q^{20})\) Copy content Toggle raw display