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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 466578.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.j1 | 466578j1 | \([1, -1, 0, -7936686, -17728330572]\) | \(-357911/672\) | \(-103809133412885171055456\) | \([]\) | \(42393600\) | \(3.1063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 466578.j do not have complex multiplication.Modular form 466578.2.a.j
sage: E.q_eigenform(10)