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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 200277d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200277.c1 | 200277d1 | \([0, 0, 1, -1058495157, 13255051786238]\) | \(-7453654902730081529856/45254746691\) | \(-796315547136188416491\) | \([]\) | \(65028096\) | \(3.6182\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200277d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 200277d do not have complex multiplication.Modular form 200277.2.a.d
sage: E.q_eigenform(10)