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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 70805.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70805.bp1 | 70805bo1 | \([1, 0, 1, -24817448, -29786160869]\) | \(172032746578729129/60555631504375\) | \(595029452985968922814375\) | \([]\) | \(8087040\) | \(3.2632\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805.bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 70805.bp do not have complex multiplication.Modular form 70805.2.a.bp
sage: E.q_eigenform(10)