Properties

Label 466578.a
Number of curves $1$
Conductor $466578$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 466578.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466578.a1 466578a1 \([1, -1, 0, -238149, -9361783481]\) \(-49/1242\) \(-37861388805006678053898\) \([]\) \(72382464\) \(3.0112\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 466578.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 466578.a do not have complex multiplication.

Modular form 466578.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 4 q^{5} - q^{8} + 4 q^{10} - 5 q^{11} - 2 q^{13} + q^{16} - 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display