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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 116886.bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116886.bl1 | 116886bj1 | \([1, 0, 0, -158694, -9374320152]\) | \(-187443868067/16099967224908\) | \(-37962880543147496287428\) | \([]\) | \(10834560\) | \(3.0115\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116886.bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116886.bl do not have complex multiplication.Modular form 116886.2.a.bl
sage: E.q_eigenform(10)