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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 29575.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29575.n1 | 29575t1 | \([0, 1, 1, -43, -126]\) | \(-425984/7\) | \(-147875\) | \([]\) | \(2976\) | \(-0.20817\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29575.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29575.n do not have complex multiplication.Modular form 29575.2.a.n
sage: E.q_eigenform(10)