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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 9464a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 9464.f1 | 9464a1 | \([0, -1, 0, -56, -196]\) | \(-114244/49\) | \(-8479744\) | \([]\) | \(1920\) | \(0.036996\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9464a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9464a do not have complex multiplication.Modular form 9464.2.a.a
sage: E.q_eigenform(10)