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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 83391j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83391.a1 | 83391j1 | \([0, -1, 1, -417436, -103669470]\) | \(170990840664064/39501\) | \(1858359345381\) | \([]\) | \(777600\) | \(1.7345\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83391j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 83391j do not have complex multiplication.Modular form 83391.2.a.j
sage: E.q_eigenform(10)