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SageMath
E = EllipticCurve("qj1")
E.isogeny_class()
Elliptic curves in class 187200.qj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187200.qj1 | 187200ol1 | \([0, 0, 0, -310800, 66692000]\) | \(-17790954496/195\) | \(-36391680000000\) | \([]\) | \(1474560\) | \(1.7563\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200.qj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 187200.qj do not have complex multiplication.Modular form 187200.2.a.qj
sage: E.q_eigenform(10)