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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 54096bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54096.p1 | 54096bj1 | \([0, -1, 0, -482176, -129148928]\) | \(-25727239787761/101406816\) | \(-48866961389912064\) | \([]\) | \(414720\) | \(2.0599\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54096bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54096bj do not have complex multiplication.Modular form 54096.2.a.bj
sage: E.q_eigenform(10)