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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 22990.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22990.a1 | 22990f1 | \([1, -1, 0, -5770, -178700]\) | \(-11993263569/972800\) | \(-1723374540800\) | \([]\) | \(112640\) | \(1.0942\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22990.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22990.a do not have complex multiplication.Modular form 22990.2.a.a
sage: E.q_eigenform(10)