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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 27382.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27382.a1 | 27382a1 | \([1, 0, 1, -10, 0]\) | \(95443993/54764\) | \(54764\) | \([]\) | \(5664\) | \(-0.40111\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27382.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 27382.a do not have complex multiplication.Modular form 27382.2.a.a
sage: E.q_eigenform(10)