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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 457776.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
457776.r1 | 457776r1 | \([0, 0, 0, 58956, -16370116]\) | \(17408/99\) | \(-128882531910249216\) | \([]\) | \(3760128\) | \(1.9651\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 457776.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 457776.r do not have complex multiplication.Modular form 457776.2.a.r
sage: E.q_eigenform(10)