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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 42350d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42350.s1 | 42350d1 | \([1, -1, 0, 22423, -2366259]\) | \(28151260695/70647808\) | \(-3128922534707200\) | \([]\) | \(195840\) | \(1.6571\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42350d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 42350d do not have complex multiplication.Modular form 42350.2.a.d
sage: E.q_eigenform(10)