Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 3150.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3150.c1 | 3150p1 | \([1, -1, 0, -6867, 262791]\) | \(-125768785/30618\) | \(-8718953906250\) | \([]\) | \(6720\) | \(1.2015\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3150.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3150.c do not have complex multiplication.Modular form 3150.2.a.c
sage: E.q_eigenform(10)