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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 42483.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42483.j1 | 42483i1 | \([0, -1, 1, -79, -246]\) | \(-3899392/3\) | \(-42483\) | \([]\) | \(5940\) | \(-0.17999\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42483.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 42483.j do not have complex multiplication.Modular form 42483.2.a.j
sage: E.q_eigenform(10)