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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 1638.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1638.j1 | 1638g1 | \([1, -1, 0, 30, 98]\) | \(4019679/8918\) | \(-6501222\) | \([]\) | \(504\) | \(-0.0085509\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1638.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1638.j do not have complex multiplication.Modular form 1638.2.a.j
sage: E.q_eigenform(10)