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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 164560.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
164560.bc1 | 164560l1 | \([0, -1, 0, 9640, -464528]\) | \(13651919/20570\) | \(-149262376017920\) | \([]\) | \(368640\) | \(1.4051\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 164560.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 164560.bc do not have complex multiplication.Modular form 164560.2.a.bc
sage: E.q_eigenform(10)