Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 69360b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69360.s1 69360b1 \([0, -1, 0, -43714236, 134619486615]\) \(-4868914236046592/1307544150375\) \(-2480942147504724739782000\) \([]\) \(10967040\) \(3.3973\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69360b1 has rank \(1\).

Complex multiplication

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

Modular form 69360.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} + q^{9} - 5 q^{11} - 2 q^{13} + q^{15} + q^{19} + O(q^{20})\) Copy content Toggle raw display