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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 331200q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 331200.q1 | 331200q1 | \([0, 0, 0, -11959500, -9073690000]\) | \(2534167381585/990074583\) | \(73908671591116800000000\) | \([]\) | \(39321600\) | \(3.0868\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331200q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 331200q do not have complex multiplication.Modular form 331200.2.a.q
sage: E.q_eigenform(10)