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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 157794ce
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 157794.f1 | 157794ce1 | \([1, 1, 0, -2173, -45731]\) | \(-47045881/8736\) | \(-210865802784\) | \([]\) | \(191360\) | \(0.89735\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 157794ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 157794ce do not have complex multiplication.Modular form 157794.2.a.ce
sage: E.q_eigenform(10)