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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 18032r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18032.r1 | 18032r1 | \([0, 1, 0, 278, -15317]\) | \(1257728/55223\) | \(-103950891632\) | \([]\) | \(9216\) | \(0.79373\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18032r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18032r do not have complex multiplication.Modular form 18032.2.a.r
sage: E.q_eigenform(10)