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SageMath
E = EllipticCurve("eb1")
E.isogeny_class()
Elliptic curves in class 159120.eb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159120.eb1 | 159120v1 | \([0, 0, 0, -34707, 2593874]\) | \(-1548415333009/77332320\) | \(-230913070202880\) | \([]\) | \(430080\) | \(1.5171\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159120.eb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159120.eb do not have complex multiplication.Modular form 159120.2.a.eb
sage: E.q_eigenform(10)