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SageMath
E = EllipticCurve("ek1")
E.isogeny_class()
Elliptic curves in class 90944.ek
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
90944.ek1 | 90944en1 | \([0, 0, 0, -3724, 126224]\) | \(-185193/116\) | \(-3577553616896\) | \([]\) | \(276480\) | \(1.1104\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 90944.ek1 has rank \(0\).
Complex multiplication
The elliptic curves in class 90944.ek do not have complex multiplication.Modular form 90944.2.a.ek
sage: E.q_eigenform(10)