Properties

Label 481338.w
Number of curves $1$
Conductor $481338$
CM no
Rank $0$

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

Elliptic curves in class 481338.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
481338.w1 481338w1 \([1, -1, 0, -617667, -265232467]\) \(-51046875/30056\) \(-15344379327036093048\) \([]\) \(8895744\) \(2.3840\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 481338.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 481338.w do not have complex multiplication.

Modular form 481338.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - q^{13} + q^{16} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display