Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 279174m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
279174.m1 | 279174m1 | \([1, 1, 0, -422, 3858]\) | \(-28864912969/7620774\) | \(-2202403686\) | \([]\) | \(135936\) | \(0.50946\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 279174m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 279174m do not have complex multiplication.Modular form 279174.2.a.m
sage: E.q_eigenform(10)