Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 69828.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69828.i1 69828a1 \([0, -1, 0, -20278, 1074301]\) \(736000/33\) \(41348200228368\) \([]\) \(198720\) \(1.3752\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69828.i1 has rank \(1\).

Complex multiplication

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

Modular form 69828.2.a.i

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