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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 157170bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
157170.bt1 | 157170bn1 | \([1, 1, 1, 16474, 453539]\) | \(102437538839/77137920\) | \(-372330006497280\) | \([]\) | \(1013760\) | \(1.4841\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 157170bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 157170bn do not have complex multiplication.Modular form 157170.2.a.bn
sage: E.q_eigenform(10)