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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 302016v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302016.v1 | 302016v1 | \([0, -1, 0, -3329, -393567]\) | \(-128667913/2047032\) | \(-64930675949568\) | \([]\) | \(746496\) | \(1.3317\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302016v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302016v do not have complex multiplication.Modular form 302016.2.a.v
sage: E.q_eigenform(10)