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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 423864.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
423864.j1 | 423864j1 | \([0, 0, 0, 261, 45414]\) | \(108/49\) | \(-892108256256\) | \([]\) | \(577024\) | \(0.97216\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 423864.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 423864.j do not have complex multiplication.Modular form 423864.2.a.j
sage: E.q_eigenform(10)