Properties

Label 10304.w
Number of curves $1$
Conductor $10304$
CM no
Rank $0$

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

Elliptic curves in class 10304.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10304.w1 10304r1 \([0, 1, 0, -113, -505]\) \(-157216000/1127\) \(-1154048\) \([]\) \(1536\) \(-0.0043382\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10304.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10304.w do not have complex multiplication.

Modular form 10304.2.a.w

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} - 2q^{9} - 6q^{11} + 3q^{13} + O(q^{20})\)  Toggle raw display