Properties

Label 380926.m
Number of curves $1$
Conductor $380926$
CM no
Rank $0$

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

Elliptic curves in class 380926.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
380926.m1 380926m1 \([1, -1, 0, -91688, 11473216]\) \(-137357829/11776\) \(-7308163485296128\) \([]\) \(3302208\) \(1.7886\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 380926.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 380926.m do not have complex multiplication.

Modular form 380926.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 2 q^{5} - q^{8} - 3 q^{9} + 2 q^{10} + 6 q^{11} + q^{16} - 6 q^{17} + 3 q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display