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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 400710v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
400710.v1 | 400710v1 | \([1, 0, 1, -14448, 667198]\) | \(923839438830481/568320\) | \(205163520\) | \([]\) | \(492480\) | \(0.91622\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 400710v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 400710v do not have complex multiplication.Modular form 400710.2.a.v
sage: E.q_eigenform(10)