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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 23064p
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 23064.h1 | 23064p1 | \([0, 1, 0, -31072, 2812064]\) | \(-1825346/837\) | \(-1521337509881856\) | \([]\) | \(138240\) | \(1.6196\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23064p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23064p do not have complex multiplication.Modular form 23064.2.a.p
sage: E.q_eigenform(10)