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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 328304z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 328304.z1 | 328304z1 | \([0, 0, 0, -12143491, -16220750974]\) | \(2003092024307193/9529458688\) | \(942153591251965837312\) | \([]\) | \(35831808\) | \(2.8738\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 328304z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 328304z do not have complex multiplication.Modular form 328304.2.a.z
sage: E.q_eigenform(10)