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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 55506j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55506.l1 | 55506j1 | \([1, 1, 0, -547508, 148637520]\) | \(25662819414780409/1315467952128\) | \(930405488649043968\) | \([]\) | \(1503360\) | \(2.2058\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55506j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 55506j do not have complex multiplication.Modular form 55506.2.a.j
sage: E.q_eigenform(10)