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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 259920.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259920.r1 | 259920r1 | \([0, 0, 0, -1083, 130682]\) | \(-1444/75\) | \(-7296307891200\) | \([]\) | \(460800\) | \(1.1481\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259920.r1 has rank \(2\).
Complex multiplication
The elliptic curves in class 259920.r do not have complex multiplication.Modular form 259920.2.a.r
sage: E.q_eigenform(10)