Properties

Label 152592.m
Number of curves $1$
Conductor $152592$
CM no
Rank $1$

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

Elliptic curves in class 152592.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
152592.m1 152592br1 \([0, -1, 0, -9344, -9768960]\) \(-263762497/120434688\) \(-41200949561131008\) \([]\) \(829440\) \(1.8672\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 152592.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 152592.m do not have complex multiplication.

Modular form 152592.2.a.m

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