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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 29575.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29575.q1 | 29575b1 | \([1, 1, 0, -1552775, -766335500]\) | \(-32485001809/1071875\) | \(-13661896352685546875\) | \([]\) | \(673920\) | \(2.4465\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29575.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29575.q do not have complex multiplication.Modular form 29575.2.a.q
sage: E.q_eigenform(10)