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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 57150.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57150.r1 | 57150l1 | \([1, -1, 0, -2367, -20979]\) | \(80492265625/35551872\) | \(647932867200\) | \([]\) | \(94080\) | \(0.96216\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57150.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57150.r do not have complex multiplication.Modular form 57150.2.a.r
sage: E.q_eigenform(10)