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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 346560.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 346560.q1 | 346560q1 | \([0, -1, 0, -560828421, -5111812327779]\) | \(70107585212548096/439453125\) | \(122281653895200000000000\) | \([]\) | \(96307200\) | \(3.6158\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 346560.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 346560.q do not have complex multiplication.Modular form 346560.2.a.q
sage: E.q_eigenform(10)