Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 57150.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
57150.d1 57150o1 \([1, -1, 0, -2142, 30766]\) \(95443993/20574\) \(234350718750\) \([]\) \(82944\) \(0.89574\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 57150.d1 has rank \(0\).

Complex multiplication

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

Modular form 57150.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{7} - q^{8} + 3 q^{11} + 6 q^{13} + 3 q^{14} + q^{16} - 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display