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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 123210.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
123210.v1 | 123210bg1 | \([1, -1, 0, -43380, -5999450]\) | \(-4826809/5550\) | \(-10380800764493550\) | \([]\) | \(1225728\) | \(1.7675\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 123210.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 123210.v do not have complex multiplication.Modular form 123210.2.a.v
sage: E.q_eigenform(10)