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SageMath
E = EllipticCurve("fl1")
E.isogeny_class()
Elliptic curves in class 388080.fl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 388080.fl1 | 388080fl1 | \([0, 0, 0, -7203, -689087]\) | \(-12544/55\) | \(-181213521738480\) | \([]\) | \(1161216\) | \(1.4208\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388080.fl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388080.fl do not have complex multiplication.Modular form 388080.2.a.fl
sage: E.q_eigenform(10)