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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 70805bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70805.n1 | 70805bj1 | \([1, 1, 1, -8625, -310808]\) | \(6084487/25\) | \(291554810575\) | \([]\) | \(88704\) | \(1.0554\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70805bj do not have complex multiplication.Modular form 70805.2.a.bj
sage: E.q_eigenform(10)