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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 7744.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7744.bj1 | 7744bi1 | \([0, 0, 0, 242, -18634]\) | \(13824/1331\) | \(-150908652224\) | \([]\) | \(11520\) | \(0.82444\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7744.bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7744.bj do not have complex multiplication.Modular form 7744.2.a.bj
sage: E.q_eigenform(10)