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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 157170bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
157170.ch1 | 157170bj1 | \([1, 1, 1, -34395, -2787543]\) | \(-932288503609/148800000\) | \(-718229179200000\) | \([]\) | \(829440\) | \(1.5787\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 157170bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 157170bj do not have complex multiplication.Modular form 157170.2.a.bj
sage: E.q_eigenform(10)