Properties

Label 77760bm
Number of curves $1$
Conductor $77760$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 77760bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77760.dv1 77760bm1 \([0, 0, 0, 108, -126]\) \(995328/625\) \(-87480000\) \([]\) \(17280\) \(0.21296\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77760bm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 77760bm do not have complex multiplication.

Modular form 77760.2.a.bm

sage: E.q_eigenform(10)
 
\(q + q^{5} + 2 q^{11} - q^{13} - 2 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display