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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 155526r
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 155526.cz1 | 155526r1 | \([1, 0, 0, -15941955, -24584305887]\) | \(-25727239787761/101406816\) | \(-1766128923848708014176\) | \([]\) | \(9123840\) | \(2.9345\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155526r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 155526r do not have complex multiplication.Modular form 155526.2.a.r
sage: E.q_eigenform(10)