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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 106560bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106560.ba1 | 106560bk1 | \([0, 0, 0, -41178, -3298858]\) | \(-165505319755264/4985014995\) | \(-232580859606720\) | \([]\) | \(359424\) | \(1.5346\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106560bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 106560bk do not have complex multiplication.Modular form 106560.2.a.bk
sage: E.q_eigenform(10)