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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 450840.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450840.v1 | 450840v1 | \([0, -1, 0, -5773160, -11095074900]\) | \(-430468214044178/827032912875\) | \(-40883331071572584192000\) | \([]\) | \(43794432\) | \(3.0285\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450840.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450840.v do not have complex multiplication.Modular form 450840.2.a.v
sage: E.q_eigenform(10)