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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 24646a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24646.b1 | 24646a1 | \([1, 1, 0, -11, -67]\) | \(-169112377/1577344\) | \(-1577344\) | \([]\) | \(4956\) | \(-0.12831\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24646a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 24646a do not have complex multiplication.Modular form 24646.2.a.a
sage: E.q_eigenform(10)