Properties

Label 327795.m
Number of curves $1$
Conductor $327795$
CM no
Rank $0$

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

Elliptic curves in class 327795.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
327795.m1 327795m1 \([0, -1, 1, -111506, -22477663]\) \(-32278933504/27421875\) \(-130256764733671875\) \([]\) \(5654880\) \(1.9816\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 327795.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 327795.m do not have complex multiplication.

Modular form 327795.2.a.m

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - q^{3} + 2 q^{4} - q^{5} - 2 q^{6} + q^{7} + q^{9} - 2 q^{10} - 5 q^{11} - 2 q^{12} + q^{13} + 2 q^{14} + q^{15} - 4 q^{16} + 7 q^{17} + 2 q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display