Properties

Label 35490m
Number of curves $1$
Conductor $35490$
CM no
Rank $0$

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

Elliptic curves in class 35490m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35490.e1 35490m1 \([1, 1, 0, -1100193, 443730357]\) \(-180544450042489/7620480\) \(-6216259644766080\) \([]\) \(611520\) \(2.1106\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35490m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 35490m do not have complex multiplication.

Modular form 35490.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + q^{7} - q^{8} + q^{9} + q^{10} - 5 q^{11} - q^{12} - q^{14} + q^{15} + q^{16} + 2 q^{17} - q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display