Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 90480.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
90480.c1 90480w1 \([0, -1, 0, -21141, -1279395]\) \(-255129621889024/26899279875\) \(-110179450368000\) \([]\) \(435456\) \(1.4333\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 90480.c1 has rank \(1\).

Complex multiplication

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

Modular form 90480.2.a.c

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