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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 334620.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
334620.bp1 | 334620bp1 | \([0, 0, 0, -27201663372, -1722696194841739]\) | \(233946077598763088625664/642277364501953125\) | \(6111065604643171245175781250000\) | \([]\) | \(654151680\) | \(4.7805\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 334620.bp do not have complex multiplication.Modular form 334620.2.a.bp
sage: E.q_eigenform(10)