Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 370.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
370.c1 | 370b1 | \([1, 1, 0, 13, -19]\) | \(214921799/378880\) | \(-378880\) | \([]\) | \(44\) | \(-0.24473\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 370.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 370.c do not have complex multiplication.Modular form 370.2.a.c
sage: E.q_eigenform(10)