Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 134310.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134310.v1 | 134310cl1 | \([1, 1, 0, -63527, -23832651]\) | \(-132272009881/1065600000\) | \(-228420823593600000\) | \([]\) | \(2112000\) | \(2.0136\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134310.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 134310.v do not have complex multiplication.Modular form 134310.2.a.v
sage: E.q_eigenform(10)