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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 103488.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103488.v1 | 103488ba1 | \([0, -1, 0, 133656, 19454058]\) | \(14605803968/17537553\) | \(-317051177633644608\) | \([]\) | \(1257984\) | \(2.0444\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103488.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103488.v do not have complex multiplication.Modular form 103488.2.a.v
sage: E.q_eigenform(10)