Properties

Label 468270.m
Number of curves $1$
Conductor $468270$
CM no
Rank $0$

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

Elliptic curves in class 468270.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
468270.m1 468270m1 \([1, -1, 0, -97125, 11295125]\) \(9493384124961/352256000\) \(3759730089984000\) \([]\) \(3244032\) \(1.7576\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 468270.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 468270.m do not have complex multiplication.

Modular form 468270.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} + 4 q^{13} + q^{16} - 2 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display