Properties

Label 346560.a
Number of curves $1$
Conductor $346560$
CM no
Rank $0$

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

Elliptic curves in class 346560.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
346560.a1 346560a1 \([0, -1, 0, -198081, 34265025]\) \(-9082538350921/82944000\) \(-7849321168896000\) \([]\) \(4313088\) \(1.8726\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 346560.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 346560.a do not have complex multiplication.

Modular form 346560.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 5 q^{7} + q^{9} - q^{11} + 6 q^{13} + q^{15} + 4 q^{17} + O(q^{20})\) Copy content Toggle raw display