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SageMath
E = EllipticCurve("eg1")
E.isogeny_class()
Elliptic curves in class 119952.eg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 119952.eg1 | 119952ep1 | \([0, 0, 0, -2946027, -1954082662]\) | \(-3352478521/15606\) | \(-13163139352439709696\) | \([]\) | \(2515968\) | \(2.5191\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952.eg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 119952.eg do not have complex multiplication.Modular form 119952.2.a.eg
sage: E.q_eigenform(10)