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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 20070.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20070.v1 | 20070v1 | \([1, -1, 1, -45116243, -118131988493]\) | \(-376147968271152925023018387/5647084311992320000000\) | \(-152471276423792640000000\) | \([]\) | \(2951200\) | \(3.2517\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20070.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20070.v do not have complex multiplication.Modular form 20070.2.a.v
sage: E.q_eigenform(10)