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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 297024.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
297024.f1 | 297024f1 | \([0, -1, 0, -5497857, -3121687431]\) | \(17947507904136033140992/6270317537206298121\) | \(6420805158099249275904\) | \([]\) | \(23654400\) | \(2.8859\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 297024.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 297024.f do not have complex multiplication.Modular form 297024.2.a.f
sage: E.q_eigenform(10)