Properties

Label 283920.m
Number of curves $1$
Conductor $283920$
CM no
Rank $1$

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

Elliptic curves in class 283920.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
283920.m1 283920m1 \([0, -1, 0, -67656, -3650544]\) \(585525377138/239203125\) \(13991691168000000\) \([]\) \(1612800\) \(1.7957\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 283920.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 283920.m do not have complex multiplication.

Modular form 283920.2.a.m

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