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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 18150.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18150.r1 | 18150t1 | \([1, 1, 0, -491579200, -4195219076000]\) | \(1296633753003985/17006112\) | \(172302635842250512500000\) | \([]\) | \(6652800\) | \(3.6028\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18150.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18150.r do not have complex multiplication.Modular form 18150.2.a.r
sage: E.q_eigenform(10)