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SageMath
E = EllipticCurve("em1")
E.isogeny_class()
Elliptic curves in class 224400em
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
224400.l1 | 224400em1 | \([0, -1, 0, -22175208, -40704851088]\) | \(-30148578968103025/453762220032\) | \(-18150488801280000000000\) | \([]\) | \(29376000\) | \(3.0742\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224400em1 has rank \(1\).
Complex multiplication
The elliptic curves in class 224400em do not have complex multiplication.Modular form 224400.2.a.em
sage: E.q_eigenform(10)