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SageMath
E = EllipticCurve("dr1")
E.isogeny_class()
Elliptic curves in class 209088dr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
209088.hp1 | 209088dr1 | \([0, 0, 0, -5808, 212960]\) | \(-3072\) | \(-7053137068032\) | \([]\) | \(491520\) | \(1.1779\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 209088dr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 209088dr do not have complex multiplication.Modular form 209088.2.a.dr
sage: E.q_eigenform(10)