Properties

Label 77658bb
Number of curves $1$
Conductor $77658$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 77658bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77658.bb1 77658bb1 \([1, 1, 1, -27096209, 54277404599]\) \(348047549263412713/1404930744\) \(8881077291525678456\) \([]\) \(6652800\) \(2.8468\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77658bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 77658bb do not have complex multiplication.

Modular form 77658.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + 3 q^{5} - q^{6} + q^{7} + q^{8} + q^{9} + 3 q^{10} - q^{12} + 7 q^{13} + q^{14} - 3 q^{15} + q^{16} - 5 q^{17} + q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display