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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 36100.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36100.f1 | 36100a1 | \([0, 1, 0, -57158, 4204313]\) | \(4864\) | \(4245890760250000\) | \([]\) | \(143640\) | \(1.7141\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36100.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36100.f do not have complex multiplication.Modular form 36100.2.a.f
sage: E.q_eigenform(10)