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SageMath
E = EllipticCurve("fs1")
E.isogeny_class()
Elliptic curves in class 224400.fs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
224400.fs1 | 224400cb1 | \([0, 1, 0, 310992, 988571988]\) | \(51974460932759/6625297800000\) | \(-424019059200000000000\) | \([]\) | \(9123840\) | \(2.6374\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224400.fs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 224400.fs do not have complex multiplication.Modular form 224400.2.a.fs
sage: E.q_eigenform(10)