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SageMath
E = EllipticCurve("ge1")
E.isogeny_class()
Elliptic curves in class 91200ge
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91200.v1 | 91200ge1 | \([0, -1, 0, -5733, -188163]\) | \(-81415168/13851\) | \(-3545856000000\) | \([]\) | \(165888\) | \(1.1346\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91200ge1 has rank \(1\).
Complex multiplication
The elliptic curves in class 91200ge do not have complex multiplication.Modular form 91200.2.a.ge
sage: E.q_eigenform(10)