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SageMath
E = EllipticCurve("is1")
E.isogeny_class()
Elliptic curves in class 235950.is
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 235950.is1 | 235950is1 | \([1, 0, 0, -11071563, 20469493617]\) | \(-4073768343611/2555904000\) | \(-94166998987776000000000\) | \([]\) | \(26002944\) | \(3.1099\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235950.is1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235950.is do not have complex multiplication.Modular form 235950.2.a.is
sage: E.q_eigenform(10)