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SageMath
E = EllipticCurve("ct1")
E.isogeny_class()
Elliptic curves in class 38640.ct
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38640.ct1 | 38640cw1 | \([0, 1, 0, -1125, 14175]\) | \(-615640662016/978075\) | \(-250387200\) | \([]\) | \(21120\) | \(0.50952\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38640.ct1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38640.ct do not have complex multiplication.Modular form 38640.2.a.ct
sage: E.q_eigenform(10)