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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 190608bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190608.o1 | 190608bp1 | \([0, -1, 0, -9696, 370944]\) | \(-3588604291/2376\) | \(-66752446464\) | \([]\) | \(172800\) | \(1.0162\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190608bp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190608bp do not have complex multiplication.Modular form 190608.2.a.bp
sage: E.q_eigenform(10)