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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 23400.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 23400.q1 | 23400v1 | \([0, 0, 0, -1375500, -622487500]\) | \(-789601498112/2302911\) | \(-839411059500000000\) | \([]\) | \(394240\) | \(2.3100\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23400.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23400.q do not have complex multiplication.Modular form 23400.2.a.q
sage: E.q_eigenform(10)