Show commands:
SageMath
E = EllipticCurve("dv1")
E.isogeny_class()
Elliptic curves in class 15680dv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15680.du1 | 15680dv1 | \([0, 0, 0, 98, 686]\) | \(13824/35\) | \(-263533760\) | \([]\) | \(9216\) | \(0.29960\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15680dv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15680dv do not have complex multiplication.Modular form 15680.2.a.dv
sage: E.q_eigenform(10)