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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 433200x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 433200.x1 | 433200x1 | \([0, -1, 0, -46942033, -123784741688]\) | \(-351119534556135424/29056536675\) | \(-946669229005668750000\) | \([]\) | \(27578880\) | \(3.0692\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 433200x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 433200x do not have complex multiplication.Modular form 433200.2.a.x
sage: E.q_eigenform(10)