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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 440818.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
440818.r1 | 440818r1 | \([1, 1, 1, -3562, 73335]\) | \(3650981477257/346358656\) | \(474165000064\) | \([]\) | \(701568\) | \(0.97838\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 440818.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 440818.r do not have complex multiplication.Modular form 440818.2.a.r
sage: E.q_eigenform(10)