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SageMath
E = EllipticCurve("ep1")
E.isogeny_class()
Elliptic curves in class 28224ep
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28224.cf1 | 28224ep1 | \([0, 0, 0, 69972, -16096304]\) | \(68782/243\) | \(-133852981198454784\) | \([]\) | \(215040\) | \(1.9693\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224ep1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28224ep do not have complex multiplication.Modular form 28224.2.a.ep
sage: E.q_eigenform(10)