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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 22848.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22848.r1 | 22848bs1 | \([0, -1, 0, -934241, 348758529]\) | \(-344002044213921241/1011143540736\) | \(-265065212342697984\) | \([]\) | \(391680\) | \(2.2136\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22848.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22848.r do not have complex multiplication.Modular form 22848.2.a.r
sage: E.q_eigenform(10)