Properties

Label 69696ds
Number of curves $1$
Conductor $69696$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ds1")
 
E.isogeny_class()
 

Elliptic curves in class 69696ds

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69696.p1 69696ds1 \([0, 0, 0, -7392, 244640]\) \(-30908416/3\) \(-4335648768\) \([]\) \(129024\) \(0.88501\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69696ds1 has rank \(1\).

Complex multiplication

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

Modular form 69696.2.a.ds

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