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SageMath
E = EllipticCurve("ey1")
E.isogeny_class()
Elliptic curves in class 72450.ey
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
72450.ey1 | 72450ef1 | \([1, -1, 1, 207070, -8750303]\) | \(137927116575/84410368\) | \(-600929280000000000\) | \([]\) | \(1167360\) | \(2.1006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72450.ey1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72450.ey do not have complex multiplication.Modular form 72450.2.a.ey
sage: E.q_eigenform(10)