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SageMath
E = EllipticCurve("lp1")
E.isogeny_class()
Elliptic curves in class 388080.lp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 388080.lp1 | 388080lp1 | \([0, 0, 0, -29547, 2092986]\) | \(-16241202/1375\) | \(-241517396736000\) | \([]\) | \(1524096\) | \(1.5048\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388080.lp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388080.lp do not have complex multiplication.Modular form 388080.2.a.lp
sage: E.q_eigenform(10)