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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 61347f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61347.l1 | 61347f1 | \([0, -1, 1, -197149, -33630114]\) | \(-2830523957248/264627\) | \(-79227685494243\) | \([]\) | \(282240\) | \(1.7047\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61347f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 61347f do not have complex multiplication.Modular form 61347.2.a.f
sage: E.q_eigenform(10)