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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 486720bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
486720.bp1 | 486720bp1 | \([0, 0, 0, 10148112, 323054121312]\) | \(74251994112/29007265625\) | \(-45152119085862746880000000\) | \([]\) | \(108380160\) | \(3.6018\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 486720bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 486720bp do not have complex multiplication.Modular form 486720.2.a.bp
sage: E.q_eigenform(10)