Properties

Label 69696ha
Number of curves $1$
Conductor $69696$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ha1")
 
E.isogeny_class()
 

Elliptic curves in class 69696ha

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69696.gx1 69696ha1 \([0, 0, 0, 15972, -146410]\) \(45056/27\) \(-270030454702272\) \([]\) \(253440\) \(1.4584\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69696ha1 has rank \(0\).

Complex multiplication

The elliptic curves in class 69696ha do not have complex multiplication.

Modular form 69696.2.a.ha

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