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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 110400ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110400.x1 | 110400ca1 | \([0, -1, 0, -21076833, 37287561537]\) | \(-80896517556407240/91930287069\) | \(-1176707674483200000000\) | \([]\) | \(6128640\) | \(2.9566\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110400ca1 has rank \(0\).
Complex multiplication
The elliptic curves in class 110400ca do not have complex multiplication.Modular form 110400.2.a.ca
sage: E.q_eigenform(10)