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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 87464a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 87464.c1 | 87464a1 | \([0, -1, 0, -13736, -643988]\) | \(-235298/13\) | \(-15836576098304\) | \([]\) | \(193536\) | \(1.2906\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 87464a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 87464a do not have complex multiplication.Modular form 87464.2.a.a
sage: E.q_eigenform(10)