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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 333270.bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333270.bl1 | 333270bl1 | \([1, -1, 0, 144710496, 8128722777088]\) | \(5870479694885951/503411103498240\) | \(-28739089627413784741816565760\) | \([]\) | \(320495616\) | \(4.1402\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333270.bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 333270.bl do not have complex multiplication.Modular form 333270.2.a.bl
sage: E.q_eigenform(10)