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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 29400.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 29400.q1 | 29400cs1 | \([0, -1, 0, -97560633, -370870269363]\) | \(-90888126966784/16875\) | \(-19067079307500000000\) | \([]\) | \(1935360\) | \(3.0932\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29400.q do not have complex multiplication.Modular form 29400.2.a.q
sage: E.q_eigenform(10)