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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 177744bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177744.k1 | 177744bl1 | \([0, -1, 0, -774632, -260698704]\) | \(160261033/1029\) | \(330063887786594304\) | \([]\) | \(2543616\) | \(2.1981\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177744bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177744bl do not have complex multiplication.Modular form 177744.2.a.bl
sage: E.q_eigenform(10)