Properties

Label 249090.m
Number of curves $1$
Conductor $249090$
CM no
Rank $0$

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

Elliptic curves in class 249090.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
249090.m1 249090m1 \([1, 1, 0, -324964987, -2258745217571]\) \(-11761183294502547619/23178700800000\) \(-7479481598660265523200000\) \([]\) \(160876800\) \(3.6610\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 249090.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 249090.m do not have complex multiplication.

Modular form 249090.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - 5 q^{7} - q^{8} + q^{9} - q^{10} - 5 q^{11} - q^{12} + 3 q^{13} + 5 q^{14} - q^{15} + q^{16} - 4 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display