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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 39984j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39984.g1 | 39984j1 | \([0, -1, 0, 25023, -601299]\) | \(57530252288/38336139\) | \(-1154613354806016\) | \([]\) | \(184320\) | \(1.5790\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39984j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39984j do not have complex multiplication.Modular form 39984.2.a.j
sage: E.q_eigenform(10)