Show commands:
SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 388815di
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 388815.di1 | 388815di1 | \([0, -1, 1, -168038749286, -34760024766037579]\) | \(-2476357085090396229632/1030161895751953125\) | \(-218295230079089929749756317138671875\) | \([]\) | \(7600324608\) | \(5.4890\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388815di1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388815di do not have complex multiplication.Modular form 388815.2.a.di
sage: E.q_eigenform(10)