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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 116242.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 116242.q1 | 116242o1 | \([1, 1, 1, -2880796433, -59927495233041]\) | \(-155679925959005140896625/1253504716655034368\) | \(-21288976377501618838949593088\) | \([]\) | \(91245600\) | \(4.2634\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116242.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116242.q do not have complex multiplication.Modular form 116242.2.a.q
sage: E.q_eigenform(10)