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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 38808bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38808.i1 | 38808bj1 | \([0, 0, 0, -399, 6811]\) | \(-1755904/3993\) | \(-15975002736\) | \([]\) | \(24576\) | \(0.64636\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808bj1 has rank \(2\).
Complex multiplication
The elliptic curves in class 38808bj do not have complex multiplication.Modular form 38808.2.a.bj
sage: E.q_eigenform(10)