Properties

Label 69360e
Number of curves $1$
Conductor $69360$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 69360e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69360.w1 69360e1 \([0, -1, 0, 5684, -157109]\) \(52577024/57375\) \(-22158288342000\) \([]\) \(165888\) \(1.2473\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69360e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 69360e do not have complex multiplication.

Modular form 69360.2.a.e

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