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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 26640.s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 26640.s1 | 26640e1 | \([0, 0, 0, 132, -1348]\) | \(1362944/4995\) | \(-932186880\) | \([]\) | \(7680\) | \(0.40397\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26640.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26640.s do not have complex multiplication.Modular form 26640.2.a.s
sage: E.q_eigenform(10)