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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 160446.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 160446.x1 | 160446s1 | \([1, 1, 1, -43884464, -117744940015]\) | \(-5275941807135921123097/326485867713527808\) | \(-578389630292445037068288\) | \([]\) | \(28089600\) | \(3.3139\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 160446.x do not have complex multiplication.Modular form 160446.2.a.x
sage: E.q_eigenform(10)