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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 97104a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 97104.t1 | 97104a1 | \([0, -1, 0, -8188, 2697055]\) | \(-544000/27783\) | \(-3100919503732848\) | \([]\) | \(352512\) | \(1.6525\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97104a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97104a do not have complex multiplication.Modular form 97104.2.a.a
sage: E.q_eigenform(10)