Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 9075.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9075.e1 | 9075c1 | \([1, 1, 1, -17608, -1059574]\) | \(-10241915/2187\) | \(-128920790005425\) | \([]\) | \(22176\) | \(1.4288\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9075.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9075.e do not have complex multiplication.Modular form 9075.2.a.e
sage: E.q_eigenform(10)