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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 109554e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
109554.b1 | 109554e1 | \([1, 1, 0, -10885, 340159]\) | \(148438981017625/32491371078\) | \(31224207605958\) | \([]\) | \(230400\) | \(1.3030\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 109554e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 109554e do not have complex multiplication.Modular form 109554.2.a.e
sage: E.q_eigenform(10)