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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 40432d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40432.h1 | 40432d1 | \([0, 0, 0, -19, 114]\) | \(-1026/7\) | \(-5175296\) | \([]\) | \(5184\) | \(-0.028411\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40432d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 40432d do not have complex multiplication.Modular form 40432.2.a.d
sage: E.q_eigenform(10)