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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 22481.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22481.a1 | 22481b1 | \([1, 1, 1, -4, 6]\) | \(-7189057/22481\) | \(-22481\) | \([]\) | \(844\) | \(-0.47839\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22481.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 22481.a do not have complex multiplication.Modular form 22481.2.a.a
sage: E.q_eigenform(10)