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SageMath
E = EllipticCurve("ct1")
E.isogeny_class()
Elliptic curves in class 21294ct
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21294.bp1 | 21294ct1 | \([1, -1, 1, -1102757, -311936205]\) | \(249395415529/73513818\) | \(43716292745479425162\) | \([]\) | \(1048320\) | \(2.4745\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21294ct1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21294ct do not have complex multiplication.Modular form 21294.2.a.ct
sage: E.q_eigenform(10)