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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 14784.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14784.v1 | 14784s1 | \([0, -1, 0, -225, 3753]\) | \(-1235663104/4991679\) | \(-5111479296\) | \([]\) | \(7680\) | \(0.54820\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14784.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14784.v do not have complex multiplication.Modular form 14784.2.a.v
sage: E.q_eigenform(10)