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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 187850bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187850.t1 | 187850bn1 | \([1, 0, 1, -28626, 1868148]\) | \(-574468255729/2284880\) | \(-10317661250000\) | \([]\) | \(470016\) | \(1.3542\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187850bn1 has rank \(2\).
Complex multiplication
The elliptic curves in class 187850bn do not have complex multiplication.Modular form 187850.2.a.bn
sage: E.q_eigenform(10)