Properties

Label 69360.cm
Number of curves $1$
Conductor $69360$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cm1")
 
E.isogeny_class()
 

Elliptic curves in class 69360.cm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69360.cm1 69360da1 \([0, 1, 0, -776, -19980]\) \(-43713001/116640\) \(-138071900160\) \([]\) \(51840\) \(0.82507\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69360.cm1 has rank \(1\).

Complex multiplication

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

Modular form 69360.2.a.cm

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} + q^{9} + q^{11} + 3 q^{13} - q^{15} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display