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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 102850bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102850.bc1 | 102850bj1 | \([1, -1, 0, -251642, -47623284]\) | \(108709425/2312\) | \(37479578548445000\) | \([]\) | \(760320\) | \(1.9694\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102850bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102850bj do not have complex multiplication.Modular form 102850.2.a.bj
sage: E.q_eigenform(10)