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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 461719.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
461719.a1 | 461719a1 | \([1, 1, 0, -15891, -779410]\) | \(-9434056897/24301\) | \(-1143261954181\) | \([]\) | \(1290240\) | \(1.1899\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 461719.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 461719.a do not have complex multiplication.Modular form 461719.2.a.a
sage: E.q_eigenform(10)