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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 150075v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.bc1 | 150075v1 | \([0, 0, 1, -30000, -7505469]\) | \(-419430400/3175587\) | \(-22607450419921875\) | \([]\) | \(1013760\) | \(1.8211\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 150075v do not have complex multiplication.Modular form 150075.2.a.v
sage: E.q_eigenform(10)