Properties

Label 90480.m
Number of curves $1$
Conductor $90480$
CM no
Rank $0$

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

Elliptic curves in class 90480.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
90480.m1 90480bi1 \([0, -1, 0, -795880, -273299600]\) \(-13611534355369215721/15998696220000\) \(-65530659717120000\) \([]\) \(1190400\) \(2.1387\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 90480.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 90480.m do not have complex multiplication.

Modular form 90480.2.a.m

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