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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 66300bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66300.bm1 | 66300bp1 | \([0, 1, 0, -358, -3187]\) | \(-508844800/112047\) | \(-1120470000\) | \([]\) | \(31104\) | \(0.45702\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66300bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66300bp do not have complex multiplication.Modular form 66300.2.a.bp
sage: E.q_eigenform(10)