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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 283024cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
283024.cf1 | 283024cf1 | \([0, 1, 0, -288920, -55601113]\) | \(12544\) | \(212628751198389904\) | \([]\) | \(2413152\) | \(2.0683\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283024cf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 283024cf do not have complex multiplication.Modular form 283024.2.a.cf
sage: E.q_eigenform(10)