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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 279174.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
279174.a1 | 279174a1 | \([1, 1, 0, -507, 9825]\) | \(-2942649737/7154196\) | \(-35148564948\) | \([]\) | \(408576\) | \(0.71164\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 279174.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 279174.a do not have complex multiplication.Modular form 279174.2.a.a
sage: E.q_eigenform(10)