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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 21175.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21175.bj1 | 21175bj1 | \([1, -1, 0, -292, 941]\) | \(36479025/16807\) | \(1271029375\) | \([]\) | \(18000\) | \(0.44166\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21175.bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21175.bj do not have complex multiplication.Modular form 21175.2.a.bj
sage: E.q_eigenform(10)