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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 31680.co
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 31680.co1 | 31680dy1 | \([0, 0, 0, -108012, -59616016]\) | \(-5833944216008/60897409375\) | \(-1454709520281600000\) | \([]\) | \(403200\) | \(2.1673\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 31680.co1 has rank \(1\).
Complex multiplication
The elliptic curves in class 31680.co do not have complex multiplication.Modular form 31680.2.a.co
sage: E.q_eigenform(10)