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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 202160.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202160.cd1 | 202160bo1 | \([0, 1, 0, 66304, -19603276]\) | \(24389/140\) | \(-185042033414389760\) | \([]\) | \(1605120\) | \(1.9953\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202160.cd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 202160.cd do not have complex multiplication.Modular form 202160.2.a.cd
sage: E.q_eigenform(10)