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SageMath
E = EllipticCurve("ni1")
E.isogeny_class()
Elliptic curves in class 187200.ni
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187200.ni1 | 187200nt1 | \([0, 0, 0, -1104375, -447612500]\) | \(-326938350400/767637\) | \(-349754608125000000\) | \([]\) | \(3686400\) | \(2.2466\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200.ni1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187200.ni do not have complex multiplication.Modular form 187200.2.a.ni
sage: E.q_eigenform(10)