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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 116886.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116886.bj1 | 116886bw1 | \([1, 0, 0, -428887, 117199721]\) | \(-595911384446123713/60681357950976\) | \(-888435761760239616\) | \([]\) | \(3391488\) | \(2.1838\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116886.bj1 has rank \(2\).
Complex multiplication
The elliptic curves in class 116886.bj do not have complex multiplication.Modular form 116886.2.a.bj
sage: E.q_eigenform(10)