Properties

Label 71148m
Number of curves $1$
Conductor $71148$
CM no
Rank $1$

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

Elliptic curves in class 71148m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
71148.d1 71148m1 \([0, -1, 0, 152178, -100301991]\) \(256/3\) \(-4567281333560228976\) \([]\) \(1596672\) \(2.2614\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71148m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 71148m do not have complex multiplication.

Modular form 71148.2.a.m

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