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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 129430.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 129430.q1 | 129430o1 | \([1, 0, 0, -46582820, -367171519408]\) | \(-956430453965281/4429211904320\) | \(-51769515809626677851136320\) | \([]\) | \(35368704\) | \(3.6188\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129430.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 129430.q do not have complex multiplication.Modular form 129430.2.a.q
sage: E.q_eigenform(10)