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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 259182j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.j1 | 259182j1 | \([1, -1, 0, -2666076, -1672705072]\) | \(496716522291/746368\) | \(3149095162737896064\) | \([]\) | \(7451136\) | \(2.4499\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 259182j do not have complex multiplication.Modular form 259182.2.a.j
sage: E.q_eigenform(10)