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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 155526bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155526.by1 | 155526bj1 | \([1, 1, 1, -2748166, -15305257213]\) | \(-2689684081/117006336\) | \(-99852907716527228411904\) | \([]\) | \(13837824\) | \(3.0932\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155526bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 155526bj do not have complex multiplication.Modular form 155526.2.a.bj
sage: E.q_eigenform(10)