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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 70805bp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 70805.bk1 | 70805bp1 | \([1, 1, 0, -3575947, 1255394834]\) | \(6161940649/2734375\) | \(2244076644622446484375\) | \([]\) | \(4230144\) | \(2.7925\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 70805bp do not have complex multiplication.Modular form 70805.2.a.bp
sage: E.q_eigenform(10)