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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 283746x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 283746.x1 | 283746x1 | \([1, 1, 1, -5964, -397743]\) | \(-498677257/1145988\) | \(-53914015075428\) | \([]\) | \(1134000\) | \(1.3233\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283746x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 283746x do not have complex multiplication.Modular form 283746.2.a.x
sage: E.q_eigenform(10)