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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 51376.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 51376.q1 | 51376a1 | \([0, 0, 0, -3056027, -2066616838]\) | \(-22359484836/130321\) | \(-18397037072643613696\) | \([]\) | \(938496\) | \(2.5375\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51376.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 51376.q do not have complex multiplication.Modular form 51376.2.a.q
sage: E.q_eigenform(10)