Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 378.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
378.c1 | 378d1 | \([1, -1, 0, 0, 4]\) | \(-3/28\) | \(-6804\) | \([]\) | \(24\) | \(-0.58565\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 378.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 378.c do not have complex multiplication.Modular form 378.2.a.c
sage: E.q_eigenform(10)