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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 381150j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
381150.j1 | 381150j1 | \([1, -1, 0, 380583, 77856741]\) | \(2496791/2520\) | \(-6153037704804375000\) | \([]\) | \(8515584\) | \(2.2922\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 381150j do not have complex multiplication.Modular form 381150.2.a.j
sage: E.q_eigenform(10)