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SageMath
E = EllipticCurve("el1")
E.isogeny_class()
Elliptic curves in class 93600.el
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93600.el1 | 93600el1 | \([0, 0, 0, -4417500, -3580900000]\) | \(-326938350400/767637\) | \(-22384294920000000000\) | \([]\) | \(3686400\) | \(2.5932\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93600.el1 has rank \(0\).
Complex multiplication
The elliptic curves in class 93600.el do not have complex multiplication.Modular form 93600.2.a.el
sage: E.q_eigenform(10)