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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 185900.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185900.d1 | 185900b1 | \([0, 1, 0, 542, 10713]\) | \(3328/11\) | \(-58093750000\) | \([]\) | \(178560\) | \(0.74856\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185900.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 185900.d do not have complex multiplication.Modular form 185900.2.a.d
sage: E.q_eigenform(10)