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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 230115.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 230115.q1 | 230115q1 | \([0, 1, 1, -5606189295, 161564096134424]\) | \(-131631542171643599790505984/44988384234391875\) | \(-6659895454811785590001875\) | \([]\) | \(184504320\) | \(4.1198\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 230115.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 230115.q do not have complex multiplication.Modular form 230115.2.a.q
sage: E.q_eigenform(10)