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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 328560q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 328560.q1 | 328560q1 | \([0, -1, 0, -472761, -188022060]\) | \(-207929344/151875\) | \(-8535325073028030000\) | \([]\) | \(10229760\) | \(2.3321\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 328560q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 328560q do not have complex multiplication.Modular form 328560.2.a.q
sage: E.q_eigenform(10)