Properties

Label 230640.m
Number of curves $1$
Conductor $230640$
CM no
Rank $0$

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

Elliptic curves in class 230640.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
230640.m1 230640m1 \([0, -1, 0, -246336, -60256800]\) \(-909513218/338985\) \(-616141691502151680\) \([]\) \(3010560\) \(2.1236\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 230640.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 230640.m do not have complex multiplication.

Modular form 230640.2.a.m

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