Properties

Label 69828.a
Number of curves $1$
Conductor $69828$
CM no
Rank $0$

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

Elliptic curves in class 69828.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69828.a1 69828t1 \([0, -1, 0, -14645012, 21577119576]\) \(-32754774352/1089\) \(-11549048502185922816\) \([]\) \(3974400\) \(2.7508\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69828.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 69828.a do not have complex multiplication.

Modular form 69828.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} - 4 q^{7} + q^{9} + q^{11} - q^{13} + 3 q^{15} + 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display