Properties

Label 150075d
Number of curves $1$
Conductor $150075$
CM no
Rank $0$

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

Elliptic curves in class 150075d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
150075.d1 150075d1 \([1, -1, 1, 2470, 189722]\) \(146363183/1458729\) \(-16615835015625\) \([]\) \(241920\) \(1.2179\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 150075d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 150075d do not have complex multiplication.

Modular form 150075.2.a.d

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