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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 8550.bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8550.bk1 | 8550bg1 | \([1, -1, 1, -115430, -15697803]\) | \(-23891790625/1181952\) | \(-8414482500000000\) | \([]\) | \(76800\) | \(1.8171\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8550.bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8550.bk do not have complex multiplication.Modular form 8550.2.a.bk
sage: E.q_eigenform(10)