Properties

Label 57960bm
Number of curves $1$
Conductor $57960$
CM no
Rank $1$

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

Elliptic curves in class 57960bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
57960.m1 57960bm1 \([0, 0, 0, 1437, 5987]\) \(28134973184/17609375\) \(-205395750000\) \([]\) \(57600\) \(0.85975\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 57960bm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 57960bm do not have complex multiplication.

Modular form 57960.2.a.bm

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} + 2 q^{11} + 3 q^{13} + 6 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display