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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 75150bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75150.z1 | 75150bp1 | \([1, -1, 1, -68180, 47529447]\) | \(-24616775429/670674672\) | \(-954925460718750000\) | \([]\) | \(1873920\) | \(2.1306\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 75150bp do not have complex multiplication.Modular form 75150.2.a.bp
sage: E.q_eigenform(10)