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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 19890.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19890.g1 | 19890k1 | \([1, -1, 0, 161640, -63854784]\) | \(640680045567719039/2783963520000000\) | \(-2029509406080000000\) | \([]\) | \(419328\) | \(2.1954\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19890.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19890.g do not have complex multiplication.Modular form 19890.2.a.g
sage: E.q_eigenform(10)