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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 344760.e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 344760.e1 | 344760e1 | \([0, -1, 0, -1551577426936, 743896370627497996]\) | \(-41788232654067676478925951960962/428246593676749551934035\) | \(-4233348121760312991787351130757120\) | \([]\) | \(4145541120\) | \(5.6104\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 344760.e do not have complex multiplication.Modular form 344760.2.a.e
sage: E.q_eigenform(10)