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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 2646bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2646.p1 | 2646bd1 | \([1, -1, 1, 194398, -13576895]\) | \(38983348653/26353376\) | \(-549235120850202528\) | \([]\) | \(60480\) | \(2.0926\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2646bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2646bd do not have complex multiplication.Modular form 2646.2.a.bd
sage: E.q_eigenform(10)