Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 286650v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286650.v1 | 286650v1 | \([1, -1, 0, -1495692, 4325833966]\) | \(-662989657192009/14097531093750\) | \(-7868404815622558593750\) | \([]\) | \(25804800\) | \(2.8823\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286650v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 286650v do not have complex multiplication.Modular form 286650.2.a.v
sage: E.q_eigenform(10)