Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 76440.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76440.v1 | 76440cg1 | \([0, -1, 0, 320, -9428]\) | \(35998942/394875\) | \(-39626496000\) | \([]\) | \(46080\) | \(0.71457\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76440.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 76440.v do not have complex multiplication.Modular form 76440.2.a.v
sage: E.q_eigenform(10)