Properties

Label 79350.a
Number of curves $1$
Conductor $79350$
CM no
Rank $0$

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

Elliptic curves in class 79350.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79350.a1 79350o1 \([1, 1, 0, -573089780, -5121996312240]\) \(462275813506656695/15850845241344\) \(713744802322121854078156800\) \([]\) \(81607680\) \(3.9245\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79350.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 79350.a do not have complex multiplication.

Modular form 79350.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - 5 q^{7} - q^{8} + q^{9} + q^{11} - q^{12} + 7 q^{13} + 5 q^{14} + q^{16} + 6 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display