Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 150075a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
150075.c1 150075a1 \([0, 0, 1, -382125, 91083906]\) \(-21669680312320/45436707\) \(-12938812266796875\) \([]\) \(3248640\) \(1.9769\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 150075a1 has rank \(0\).

Complex multiplication

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

Modular form 150075.2.a.a

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