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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 374790.de
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 374790.de1 | 374790de1 | \([1, 0, 0, -300938131, 5747378906945]\) | \(-3533961548402386609/14686335897012000\) | \(-12525844259409564012026292000\) | \([]\) | \(281232000\) | \(4.0766\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790.de1 has rank \(0\).
Complex multiplication
The elliptic curves in class 374790.de do not have complex multiplication.Modular form 374790.2.a.de
sage: E.q_eigenform(10)