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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 209088cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
209088.b1 | 209088cb1 | \([0, 0, 0, -52272, -5749920]\) | \(-3072\) | \(-5141736922595328\) | \([]\) | \(1474560\) | \(1.7272\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 209088cb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 209088cb do not have complex multiplication.Modular form 209088.2.a.cb
sage: E.q_eigenform(10)