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SageMath
E = EllipticCurve("qj1")
E.isogeny_class()
Elliptic curves in class 187200qj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187200.oh1 | 187200qj1 | \([0, 0, 0, 1501200, -18380412000]\) | \(74251994112/29007265625\) | \(-146163202380000000000000\) | \([]\) | \(15482880\) | \(3.1240\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200qj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187200qj do not have complex multiplication.Modular form 187200.2.a.qj
sage: E.q_eigenform(10)