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SageMath
E = EllipticCurve("xc1")
E.isogeny_class()
Elliptic curves in class 369600xc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 369600.xc1 | 369600xc1 | \([0, 1, 0, -166033, 26915063]\) | \(-31636584484096/1331669031\) | \(-21306704496000000\) | \([]\) | \(3225600\) | \(1.8997\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600xc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 369600xc do not have complex multiplication.Modular form 369600.2.a.xc
sage: E.q_eigenform(10)