Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 43350i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43350.w1 | 43350i1 | \([1, 1, 0, -94075, -8266625]\) | \(390625/102\) | \(24043281621093750\) | \([]\) | \(483840\) | \(1.8521\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43350i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43350i do not have complex multiplication.Modular form 43350.2.a.i
sage: E.q_eigenform(10)