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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 310960bp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 310960.bp1 | 310960bp1 | \([0, 0, 0, -4110587, 1524757546]\) | \(2298944458161/1029814880\) | \(3440851495153371054080\) | \([]\) | \(10483200\) | \(2.8279\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310960bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 310960bp do not have complex multiplication.Modular form 310960.2.a.bp
sage: E.q_eigenform(10)