Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 329672.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
329672.a1 | 329672a1 | \([0, 0, 0, 1195061, 14070648214]\) | \(108/49\) | \(-85637949059927641158656\) | \([]\) | \(57372672\) | \(3.0795\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 329672.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 329672.a do not have complex multiplication.Modular form 329672.2.a.a
sage: E.q_eigenform(10)