Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 63580c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63580.e1 | 63580c1 | \([0, -1, 0, -181, 1025]\) | \(-8912896/275\) | \(-20345600\) | \([]\) | \(14688\) | \(0.17944\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63580c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63580c do not have complex multiplication.Modular form 63580.2.a.c
sage: E.q_eigenform(10)