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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 1350.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1350.j1 | 1350j1 | \([1, -1, 0, -1242, 20916]\) | \(-446631/128\) | \(-60750000000\) | \([]\) | \(1680\) | \(0.78422\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1350.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1350.j do not have complex multiplication.Modular form 1350.2.a.j
sage: E.q_eigenform(10)