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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 18928r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18928.a1 | 18928r1 | \([0, 0, 0, -8451859, 9459003346]\) | \(-19983597574473/3670016\) | \(-12262378691631251456\) | \([]\) | \(1422720\) | \(2.6656\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18928r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18928r do not have complex multiplication.Modular form 18928.2.a.r
sage: E.q_eigenform(10)