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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 69696.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 69696.q1 | 69696hd1 | \([0, 0, 0, -894432, 325615840]\) | \(-30908416/3\) | \(-7680866267086848\) | \([]\) | \(1419264\) | \(2.0840\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69696.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 69696.q do not have complex multiplication.Modular form 69696.2.a.q
sage: E.q_eigenform(10)