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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 435120.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435120.r1 | 435120r1 | \([0, -1, 0, -25496, -1556064]\) | \(310507876/555\) | \(3276251704320\) | \([]\) | \(827904\) | \(1.2940\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435120.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 435120.r do not have complex multiplication.Modular form 435120.2.a.r
sage: E.q_eigenform(10)