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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 302330.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.o1 | 302330o1 | \([1, 1, 0, -8453, 345437]\) | \(-236513641/49360\) | \(-13942978290640\) | \([]\) | \(934080\) | \(1.2440\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 302330.o do not have complex multiplication.Modular form 302330.2.a.o
sage: E.q_eigenform(10)