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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 397800.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397800.r1 | 397800r1 | \([0, 0, 0, -103575, -13336625]\) | \(-674250071296/31416255\) | \(-5725612473750000\) | \([]\) | \(2580480\) | \(1.7869\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397800.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 397800.r do not have complex multiplication.Modular form 397800.2.a.r
sage: E.q_eigenform(10)