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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 18810.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18810.r1 | 18810q1 | \([1, -1, 1, -428, -19569]\) | \(-11867954041/222543200\) | \(-162233992800\) | \([]\) | \(19200\) | \(0.83206\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18810.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18810.r do not have complex multiplication.Modular form 18810.2.a.r
sage: E.q_eigenform(10)