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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 42135.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42135.d1 | 42135a1 | \([0, -1, 1, -99251, -11729578]\) | \(1736704/45\) | \(2801686068511245\) | \([]\) | \(183168\) | \(1.7460\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42135.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 42135.d do not have complex multiplication.Modular form 42135.2.a.d
sage: E.q_eigenform(10)