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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 13766.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13766.a1 | 13766a1 | \([1, 0, 1, -23, 42]\) | \(-1263214441/110128\) | \(-110128\) | \([]\) | \(4896\) | \(-0.28840\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13766.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 13766.a do not have complex multiplication.Modular form 13766.2.a.a
sage: E.q_eigenform(10)