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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 64400.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 64400.q1 | 64400h1 | \([0, -1, 0, -51788633, 143467011637]\) | \(-3840316976122235063296/27784071875\) | \(-111136287500000000\) | \([]\) | \(3456000\) | \(2.8672\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 64400.q do not have complex multiplication.Modular form 64400.2.a.q
sage: E.q_eigenform(10)