Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 311696w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
311696.w1 | 311696w1 | \([0, -1, 0, -3428, 78883]\) | \(-157216000/1127\) | \(-31944787952\) | \([]\) | \(207360\) | \(0.84804\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 311696w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 311696w do not have complex multiplication.Modular form 311696.2.a.w
sage: E.q_eigenform(10)