Properties

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

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Show commands: SageMath
E = EllipticCurve("dt1")
 
E.isogeny_class()
 

Elliptic curves in class 69696dt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69696.b1 69696dt1 \([0, 0, 0, -894432, -325615840]\) \(-30908416/3\) \(-7680866267086848\) \([]\) \(1419264\) \(2.0840\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69696dt1 has rank \(1\).

Complex multiplication

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

Modular form 69696.2.a.dt

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