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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 72450f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
72450.o1 | 72450f1 | \([1, -1, 0, 933, -29659]\) | \(212776173/1009792\) | \(-426006000000\) | \([]\) | \(94080\) | \(0.91381\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72450f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72450f do not have complex multiplication.Modular form 72450.2.a.f
sage: E.q_eigenform(10)