Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 177450.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177450.e1 | 177450jr1 | \([1, 1, 0, -31775, -2518875]\) | \(-47045881/8736\) | \(-658859428500000\) | \([]\) | \(940800\) | \(1.5679\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177450.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177450.e do not have complex multiplication.Modular form 177450.2.a.e
sage: E.q_eigenform(10)