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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 39984.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39984.x1 | 39984cd1 | \([0, -1, 0, -2659736, -2395800336]\) | \(-12589171852447/7727480832\) | \(-1277262743939321954304\) | \([]\) | \(1838592\) | \(2.7518\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39984.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 39984.x do not have complex multiplication.Modular form 39984.2.a.x
sage: E.q_eigenform(10)