Properties

Label 975.j
Number of curves $1$
Conductor $975$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 975.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
975.j1 975c1 \([1, 1, 0, 300, 14625]\) \(304175/9477\) \(-92548828125\) \([]\) \(720\) \(0.78426\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 975.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 975.j do not have complex multiplication.

Modular form 975.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} - q^{6} + q^{7} - 3 q^{8} + q^{9} - q^{11} + q^{12} + q^{13} + q^{14} - q^{16} + 7 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display