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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 122694.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122694.v1 | 122694s1 | \([1, 1, 0, 30248, 3089728]\) | \(43307231/82944\) | \(-5861595295835136\) | \([]\) | \(1077120\) | \(1.7102\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122694.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 122694.v do not have complex multiplication.Modular form 122694.2.a.v
sage: E.q_eigenform(10)