Properties

Label 57150.m
Number of curves $1$
Conductor $57150$
CM no
Rank $0$

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

Elliptic curves in class 57150.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
57150.m1 57150k1 \([1, -1, 0, -9675792, -11582558384]\) \(-8794998189526538809/404958042000\) \(-4612725197156250000\) \([]\) \(2156544\) \(2.6567\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 57150.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 57150.m do not have complex multiplication.

Modular form 57150.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 3 q^{11} + q^{16} + q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display