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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 209814d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
209814.cv1 | 209814d1 | \([1, 0, 0, -199229, 34214775]\) | \(-1708156114633/215622\) | \(-110394394997238\) | \([]\) | \(1347840\) | \(1.7167\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 209814d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 209814d do not have complex multiplication.Modular form 209814.2.a.d
sage: E.q_eigenform(10)