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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 160446bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160446.u1 | 160446bl1 | \([1, 0, 1, -146050, 27934058]\) | \(-1607247060793/643822062\) | \(-138008976773432622\) | \([]\) | \(2249280\) | \(1.9976\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 160446bl do not have complex multiplication.Modular form 160446.2.a.bl
sage: E.q_eigenform(10)