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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 236691a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 236691.a1 | 236691a1 | \([0, 0, 1, -7574979, 8024590822]\) | \(-2731787761881088/19171971\) | \(-337355519428425771\) | \([]\) | \(9510912\) | \(2.5427\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236691a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 236691a do not have complex multiplication.Modular form 236691.2.a.a
sage: E.q_eigenform(10)