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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 206310cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206310.m1 | 206310cd1 | \([1, 1, 0, -3625512, 1921939236]\) | \(67299099310921/18537187500\) | \(1451665417463637187500\) | \([]\) | \(12241152\) | \(2.7681\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206310cd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206310cd do not have complex multiplication.Modular form 206310.2.a.cd
sage: E.q_eigenform(10)