Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 3696.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3696.v1 | 3696l1 | \([0, 1, 0, -236, 1323]\) | \(-91238612224/251559\) | \(-4024944\) | \([]\) | \(576\) | \(0.14048\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3696.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3696.v do not have complex multiplication.Modular form 3696.2.a.v
sage: E.q_eigenform(10)