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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 182520.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
182520.bp1 | 182520s1 | \([0, 0, 0, -278343, 58903767]\) | \(-1568892672/78125\) | \(-118757601933750000\) | \([]\) | \(2177280\) | \(2.0375\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 182520.bp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 182520.bp do not have complex multiplication.Modular form 182520.2.a.bp
sage: E.q_eigenform(10)