Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 100029.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100029.a1 | 100029b1 | \([1, 0, 1, -24, 49]\) | \(-1439069689/300087\) | \(-300087\) | \([]\) | \(17120\) | \(-0.22719\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100029.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100029.a do not have complex multiplication.Modular form 100029.2.a.a
sage: E.q_eigenform(10)