Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 46200i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46200.v1 | 46200i1 | \([0, -1, 0, -44055033, 133846897437]\) | \(-2364015519613191629824/566330060131171875\) | \(-2265320240524687500000000\) | \([]\) | \(7418880\) | \(3.3921\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46200i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46200i do not have complex multiplication.Modular form 46200.2.a.i
sage: E.q_eigenform(10)