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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 24546.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24546.a1 | 24546a1 | \([1, 1, 0, -39, 81]\) | \(-6826561273/147276\) | \(-147276\) | \([]\) | \(9984\) | \(-0.21857\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24546.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 24546.a do not have complex multiplication.Modular form 24546.2.a.a
sage: E.q_eigenform(10)