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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 388080a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 388080.a1 | 388080a1 | \([0, 0, 0, -53508, 3524668]\) | \(15748096/4125\) | \(4437882165024000\) | \([]\) | \(2838528\) | \(1.7113\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388080a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388080a do not have complex multiplication.Modular form 388080.2.a.a
sage: E.q_eigenform(10)