Properties

Label 147294.m
Number of curves $1$
Conductor $147294$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 147294.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
147294.m1 147294cd1 \([1, -1, 0, -62190, 8590644]\) \(-6329617441/3895776\) \(-16372154194439904\) \([]\) \(1128960\) \(1.8131\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 147294.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 147294.m do not have complex multiplication.

Modular form 147294.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} - 4 q^{11} + q^{13} + q^{16} - 6 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display