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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 70805bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70805.bo1 | 70805bn1 | \([1, 0, 1, 35107, -1754399]\) | \(5831/5\) | \(-4103454435881045\) | \([]\) | \(286416\) | \(1.6835\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 70805bn do not have complex multiplication.Modular form 70805.2.a.bn
sage: E.q_eigenform(10)