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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 471510.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
471510.v1 | 471510v1 | \([1, -1, 0, -15300, -905904]\) | \(-3215138887129/1041361920\) | \(-128296829905920\) | \([]\) | \(1966080\) | \(1.4198\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 471510.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 471510.v do not have complex multiplication.Modular form 471510.2.a.v
sage: E.q_eigenform(10)