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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 100014.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100014.f1 | 100014e1 | \([1, 0, 0, -2196, -29808]\) | \(1171205436932929/298640203776\) | \(298640203776\) | \([]\) | \(148512\) | \(0.91143\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100014.f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 100014.f do not have complex multiplication.Modular form 100014.2.a.f
sage: E.q_eigenform(10)