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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 118354.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118354.r1 | 118354r1 | \([1, -1, 1, 911369, 37260243]\) | \(570152223/334084\) | \(-49053699916601976964\) | \([]\) | \(4417920\) | \(2.4677\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118354.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 118354.r do not have complex multiplication.Modular form 118354.2.a.r
sage: E.q_eigenform(10)