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SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 155526dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155526.r1 | 155526dh1 | \([1, 1, 0, 34639, -10311027]\) | \(633631943/6716184\) | \(-48717577187251224\) | \([]\) | \(2128896\) | \(1.8831\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155526dh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 155526dh do not have complex multiplication.Modular form 155526.2.a.dh
sage: E.q_eigenform(10)