Properties

Label 443760m
Number of curves $1$
Conductor $443760$
CM no
Rank $1$

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

Elliptic curves in class 443760m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
443760.m1 443760m1 \([0, -1, 0, -2986536, -121353189264]\) \(-388982677010590321/839808000000000000\) \(-6360289247232000000000000\) \([]\) \(58834944\) \(3.4383\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 443760m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 443760m do not have complex multiplication.

Modular form 443760.2.a.m

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