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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 1638.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1638.g1 | 1638a1 | \([1, -1, 0, 741, 21797]\) | \(2284322013/11927552\) | \(-234770006016\) | \([]\) | \(1632\) | \(0.86397\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1638.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1638.g do not have complex multiplication.Modular form 1638.2.a.g
sage: E.q_eigenform(10)